100100122111120 has 160 divisors (see below), whose sum is σ = 234426380929920. Its totient is φ = 39749498634240.

The previous prime is 100100122111109. The next prime is 100100122111147. The reversal of 100100122111120 is 21111221001001.

It is a happy number.

It is a super-2 number, since 2×100100122111120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100100122111120.

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, 39147484882 + ... + 39147487438.

It is an arithmetic number, because the mean of its divisors is an integer number (1465164880812).

Almost surely, 2^{100100122111120} is an apocalyptic number.

100100122111120 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 100100122111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213190464960).

100100122111120 is an abundant number, since it is smaller than the sum of its proper divisors (134326258818800).

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

100100122111120 is a wasteful number, since it uses less digits than its factorization.

100100122111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100100122111120 its reverse (21111221001001), we get a palindrome (121211343112121).

The spelling of 100100122111120 in words is "one hundred trillion, one hundred billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".