100011100122120 has 64 divisors (see below), whose sum is σ = 327309054949440. Its totient is φ = 24245115180800.

The previous prime is 100011100122079. The next prime is 100011100122151. The reversal of 100011100122120 is 21221001110001.

It is a super-2 number, since 2×100011100122120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100011100122096 and 100011100122105.

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, 37882991151 + ... + 37882993790.

It is an arithmetic number, because the mean of its divisors is an integer number (5114203983585).

Almost surely, 2^{100011100122120} is an apocalyptic number.

100011100122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011100122120 is an abundant number, since it is smaller than the sum of its proper divisors (227297954827320).

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

100011100122120 is a wasteful number, since it uses less digits than its factorization.

100011100122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75765984966 (or 75765984962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011100122120 its reverse (21221001110001), we get a palindrome (121232101232121).

The spelling of 100011100122120 in words is "one hundred trillion, eleven billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".