10111002012100 has 54 divisors (see below), whose sum is σ = 24116828877722. Its totient is φ = 3676728000000.

The previous prime is 10111002012061. The next prime is 10111002012119. The reversal of 10111002012100 is 121020011101.

It can be written as a sum of positive squares in 3 ways, for example, as 2668537876356 + 7442464135744 = 1633566^2 + 2728088^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 417797901 + ... + 417822100.

Almost surely, 2^{10111002012100} is an apocalyptic number.

10111002012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111002012100 is an abundant number, since it is smaller than the sum of its proper divisors (14005826865622).

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

10111002012100 is a wasteful number, since it uses less digits than its factorization.

10111002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835620037 (or 835620019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111002012100 its reverse (121020011101), we get a palindrome (10232022023201).

The spelling of 10111002012100 in words is "ten trillion, one hundred eleven billion, two million, twelve thousand, one hundred".