10120001021100 has 108 divisors (see below), whose sum is σ = 31721552522296. Its totient is φ = 2698584284160.

The previous prime is 10120001021069. The next prime is 10120001021149. The reversal of 10120001021100 is 112010002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32716764 + ... + 33024636.

Almost surely, 2^{10120001021100} is an apocalyptic number.

10120001021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120001021100 is an abundant number, since it is smaller than the sum of its proper divisors (21601551501196).

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

10120001021100 is a wasteful number, since it uses less digits than its factorization.

10120001021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344416 (or 344406 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120001021100 its reverse (112010002101), we get a palindrome (10232011023201).

The spelling of 10120001021100 in words is "ten trillion, one hundred twenty billion, one million, twenty-one thousand, one hundred".