10011012100 has 18 divisors (see below), whose sum is σ = 21723896474. Its totient is φ = 4004404800.

The previous prime is 10011012073. The next prime is 10011012103. The reversal of 10011012100 is 121011001.

It can be written as a sum of positive squares in 3 ways, for example, as 783104256 + 9227907844 = 27984^2 + 96062^2 .

It is not an unprimeable number, because it can be changed into a prime (10011012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50054961 + ... + 50055160.

Almost surely, 2^10011012100 is an apocalyptic number.

10011012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011012100 is an abundant number, since it is smaller than the sum of its proper divisors (11712884374).

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

10011012100 is a wasteful number, since it uses less digits than its factorization.

10011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100110135 (or 100110128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10011012100 its reverse (121011001), we get a palindrome (10132023101).

It can be divided in two parts, 1001 and 1012100, that added together give a palindrome (1013101).

The spelling of 10011012100 in words is "ten billion, eleven million, twelve thousand, one hundred".