101200012100 has 36 divisors (see below), whose sum is σ = 239568031248. Its totient is φ = 36800004000.

The previous prime is 101200012087. The next prime is 101200012117. The reversal of 101200012100 is 1210002101.

It is a super-3 number, since 3×101200012100³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45998906 + ... + 46001105.

Almost surely, 2^101200012100 is an apocalyptic number.

101200012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200012100 is an abundant number, since it is smaller than the sum of its proper divisors (138368019148).

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

101200012100 is a wasteful number, since it uses less digits than its factorization.

101200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92000036 (or 92000029 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101200012100 its reverse (1210002101), we get a palindrome (102410014201).

Subtracting from 101200012100 its reverse (1210002101), we obtain a palindrome (99990009999).

It can be divided in two parts, 10120001 and 2100, that added together give a palindrome (10122101).

The spelling of 101200012100 in words is "one hundred one billion, two hundred million, twelve thousand, one hundred".