10111201002120 has 128 divisors (see below), whose sum is σ = 31592211805440. Its totient is φ = 2586496711680.

The previous prime is 10111201002107. The next prime is 10111201002121. The reversal of 10111201002120 is 2120010211101.

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 = 10111201002096 and 10111201002105.

It is not an unprimeable number, because it can be changed into a prime (10111201002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15722067 + ... + 16352546.

It is an arithmetic number, because the mean of its divisors is an integer number (246814154730).

Almost surely, 2^{10111201002120} is an apocalyptic number.

10111201002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111201002120 is an abundant number, since it is smaller than the sum of its proper divisors (21481010803320).

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

10111201002120 is a wasteful number, since it uses less digits than its factorization.

10111201002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32074735 (or 32074731 counting only the distinct ones).

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

Adding to 10111201002120 its reverse (2120010211101), we get a palindrome (12231211213221).

The spelling of 10111201002120 in words is "ten trillion, one hundred eleven billion, two hundred one million, two thousand, one hundred twenty".