100111121202120 has 256 divisors, whose sum is σ = 357621648998400. Its totient is φ = 21937437895680.

The previous prime is 100111121202119. The next prime is 100111121202187. The reversal of 100111121202120 is 21202121111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100111121202120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15178735 + ... + 20751294.

It is an arithmetic number, because the mean of its divisors is an integer number (1396959566400).

Almost surely, 2^{100111121202120} is an apocalyptic number.

100111121202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111121202120 is an abundant number, since it is smaller than the sum of its proper divisors (257510527796280).

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

100111121202120 is a wasteful number, since it uses less digits than its factorization.

100111121202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35930188 (or 35930184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100111121202120 its reverse (21202121111001), we get a palindrome (121313242313121).

The spelling of 100111121202120 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty".