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101110021122220 = 225114092473345433
BaseRepresentation
bin10110111111010110000010…
…111001000110100010101100
3111021000000122012220001101021
4112333112002321012202230
5101223041310401402340
6555013145155423524
730203646403043455
oct2677260271064254
9437000565801337
10101110021122220
112a242578a99660
12b40b9715b4ba4
1344558320c5826
141ad7a7317a12c
15ba5184e01e4a
hex5bf582e468ac

101110021122220 has 96 divisors (see below), whose sum is σ = 232214707851840. Its totient is φ = 36675094671360.

The previous prime is 101110021122203. The next prime is 101110021122233. The reversal of 101110021122220 is 22221120011101.

It is a junction number, because it is equal to n+sod(n) for n = 101110021122194 and 101110021122203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225452624 + ... + 2225498056.

It is an arithmetic number, because the mean of its divisors is an integer number (2418903206790).

Almost surely, 2101110021122220 is an apocalyptic number.

101110021122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110021122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116107353925920).

101110021122220 is an abundant number, since it is smaller than the sum of its proper divisors (131104686729620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101110021122220 is a wasteful number, since it uses less digits than its factorization.

101110021122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70595 (or 70593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101110021122220 its reverse (22221120011101), we get a palindrome (123331141133321).

The spelling of 101110021122220 in words is "one hundred one trillion, one hundred ten billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 818 1636 2045 4090 4499 8180 8998 17996 22495 24733 44990 45433 49466 89980 90866 98932 123665 181732 227165 247330 272063 454330 494660 499763 544126 908660 999526 1088252 1360315 1999052 2498815 2720630 4997630 5441260 9995260 10115797 18582097 20231594 37164194 40463188 50578985 74328388 92910485 101157970 111273767 185820970 202315940 204403067 222547534 371641940 408806134 445095068 556368835 817612268 1022015335 1112737670 1123694389 2044030670 2225475340 2247388778 4088061340 4494777556 5618471945 11236943890 12360638279 22473887780 24721276558 49442553116 61803191395 123606382790 247212765580 459591005101 919182010202 1838364020404 2297955025505 4595910051010 5055501056111 9191820102020 10111002112222 20222004224444 25277505280555 50555010561110 101110021122220