10556121100 has 72 divisors (see below), whose sum is σ = 27719163360. Its totient is φ = 3406341120.

The previous prime is 10556121097. The next prime is 10556121143. The reversal of 10556121100 is 112165501.

It is a happy number.

It is a super-2 number, since 2×10556121100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431635 + ... + 455434.

It is an arithmetic number, because the mean of its divisors is an integer number (384988380).

Almost surely, 2^10556121100 is an apocalyptic number.

10556121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10556121100 is an abundant number, since it is smaller than the sum of its proper divisors (17163042260).

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

10556121100 is a wasteful number, since it uses less digits than its factorization.

10556121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887107 (or 887100 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 10556121100 its reverse (112165501), we get a palindrome (10668286601).

The spelling of 10556121100 in words is "ten billion, five hundred fifty-six million, one hundred twenty-one thousand, one hundred".