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101121020221100 = 225211883104108947
BaseRepresentation
bin10110111111100000010010…
…011111010101011010101100
3111021001002000202122011111212
4112333200102133111122230
5101223231322134033400
6555022204432333552
730204516101614235
oct2677402237253254
9437032022564455
10101121020221100
112a247202771420
12b411b210a42b8
134456895a95c69
141ad83d7c9408c
15ba55ca864335
hex5bf8127d56ac

101121020221100 has 72 divisors (see below), whose sum is σ = 239652135323328. Its totient is φ = 36729636148800.

The previous prime is 101121020221079. The next prime is 101121020221181. The reversal of 101121020221100 is 1122020121101.

It is a super-2 number, since 2×1011210202211002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51083174 + ... + 53025773.

Almost surely, 2101121020221100 is an apocalyptic number.

101121020221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121020221100 is an abundant number, since it is smaller than the sum of its proper divisors (138531115102228).

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

101121020221100 is a wasteful number, since it uses less digits than its factorization.

101121020221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104109855 (or 104109848 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101121020221100 its reverse (1122020121101), we get a palindrome (102243040342201).

Subtracting from 101121020221100 its reverse (1122020121101), we obtain a palindrome (99999000099999).

The spelling of 101121020221100 in words is "one hundred one trillion, one hundred twenty-one billion, twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 883 1100 1766 3532 4415 8830 9713 17660 19426 22075 38852 44150 48565 88300 97130 194260 242825 485650 971300 104108947 208217894 416435788 520544735 1041089470 1145198417 2082178940 2290396834 2602723675 4580793668 5205447350 5725992085 10410894700 11451984170 22903968340 28629960425 57259920850 91928200201 114519841700 183856400402 367712800804 459641001005 919282002010 1011210202211 1838564004020 2022420404422 2298205005025 4044840808844 4596410010050 5056051011055 9192820020100 10112102022110 20224204044220 25280255055275 50560510110550 101121020221100