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101111012021112 = 2338218969572137
BaseRepresentation
bin10110111111010110111101…
…111101000101001101111000
3111021000010012021102221010020
4112333112331331011031320
5101223100323034133422
6555013431354050440
730204013064410512
oct2677267575051570
9437003167387106
10101111012021112
112a242a37366665
12b40bba9419a20
13445595c497332
141ad7b289d8bb2
15ba51e1dd695c
hex5bf5bdf45378

101111012021112 has 64 divisors (see below), whose sum is σ = 253114080055200. Its totient is φ = 33658806650880.

The previous prime is 101111012021087. The next prime is 101111012021161. The reversal of 101111012021112 is 211120210111101.

It is a super-2 number, since 2×1011110120211122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111012021091 and 101111012021100.

It is a congruent number.

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, 176439108 + ... + 177011244.

Almost surely, 2101111012021112 is an apocalyptic number.

101111012021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101111012021112 is an abundant number, since it is smaller than the sum of its proper divisors (152003068034088).

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

101111012021112 is a wasteful number, since it uses less digits than its factorization.

101111012021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581936 (or 581932 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101111012021112 its reverse (211120210111101), we get a palindrome (312231222132213).

The spelling of 101111012021112 in words is "one hundred one trillion, one hundred eleven billion, twelve million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 821 1642 2463 3284 4926 6568 8969 9852 17938 19704 26907 35876 53814 71752 107628 215256 572137 1144274 1716411 2288548 3432822 4577096 6865644 7363549 13731288 14727098 22090647 29454196 44181294 58908392 88362588 176725176 469724477 939448954 1409173431 1878897908 2818346862 3757795816 5131496753 5636693724 10262993506 11273387448 15394490259 20525987012 30788980518 41051974024 61577961036 123155922072 4212958834213 8425917668426 12638876502639 16851835336852 25277753005278 33703670673704 50555506010556 101111012021112