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2101202121220 = 225281972138461
BaseRepresentation
bin11110100100111001011…
…001111111001000000100
321102212120101111021111221
4132210321121333020010
5233411230220334340
64245140125410124
7304543514225116
oct36447131771004
97385511437457
102101202121220
117401299013a4
1229b288409944
131231b112b937
14739ad4333b6
15399cca2144a
hex1e93967f204

2101202121220 has 48 divisors (see below), whose sum is σ = 4428798068016. Its totient is φ = 837381888000.

The previous prime is 2101202121169. The next prime is 2101202121247. The reversal of 2101202121220 is 221212021012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 436400287236 + 1664801833984 = 660606^2 + 1290272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2101202121194 and 2101202121203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54612790 + ... + 54651250.

It is an arithmetic number, because the mean of its divisors is an integer number (92266626417).

Almost surely, 22101202121220 is an apocalyptic number.

2101202121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101202121220 is an abundant number, since it is smaller than the sum of its proper divisors (2327595946796).

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

2101202121220 is a wasteful number, since it uses less digits than its factorization.

2101202121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48472 (or 48470 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2101202121220 its reverse (221212021012), we get a palindrome (2322414142232).

The spelling of 2101202121220 in words is "two trillion, one hundred one billion, two hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 2810 5620 9721 19442 38461 38884 48605 76922 97210 153844 192305 194420 384610 769220 2731601 5463202 10807541 10926404 13658005 21615082 27316010 43230164 54037705 54632020 108075410 216150820 373879381 747758762 1495517524 1869396905 3738793810 7477587620 105060106061 210120212122 420240424244 525300530305 1050601060610 2101202121220