100011002120 has 64 divisors (see below), whose sum is σ = 239238904320. Its totient is φ = 37543078144.

The previous prime is 100011002111. The next prime is 100011002149. The reversal of 100011002120 is 21200110001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100011002098 and 100011002107.

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, 976784 + ... + 1074303.

It is an arithmetic number, because the mean of its divisors is an integer number (3738107880).

Almost surely, 2^100011002120 is an apocalyptic number.

100011002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011002120 is an abundant number, since it is smaller than the sum of its proper divisors (139227902200).

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

100011002120 is a wasteful number, since it uses less digits than its factorization.

100011002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051174 (or 2051170 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100011002120 its reverse (21200110001), we get a palindrome (121211112121).

The spelling of 100011002120 in words is "one hundred billion, eleven million, two thousand, one hundred twenty".