10011012112100 has 36 divisors (see below), whose sum is σ = 21724039614144. Its totient is φ = 4004378424480.

The previous prime is 10011012112067. The next prime is 10011012112109. The reversal of 10011012112100 is 121121011001.

It is a super-2 number, since 2×10011012112100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011012112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23348249 + ... + 23773151.

Almost surely, 2^{10011012112100} is an apocalyptic number.

10011012112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011012112100 is an abundant number, since it is smaller than the sum of its proper divisors (11713027502044).

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

10011012112100 is a wasteful number, since it uses less digits than its factorization.

10011012112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660524 (or 660517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011012112100 its reverse (121121011001), we get a palindrome (10132133123101).

The spelling of 10011012112100 in words is "ten trillion, eleven billion, twelve million, one hundred twelve thousand, one hundred".