101012125200 has 120 divisors (see below), whose sum is σ = 369800611008. Its totient is φ = 23088483840.

The previous prime is 101012125183. The next prime is 101012125229. The reversal of 101012125200 is 2521210101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101012125200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6004227 + ... + 6021026.

Almost surely, 2^101012125200 is an apocalyptic number.

101012125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012125200 is an abundant number, since it is smaller than the sum of its proper divisors (268788485808).

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

101012125200 is a wasteful number, since it uses less digits than its factorization.

101012125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025281 (or 12025270 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 101012125200 its reverse (2521210101), we get a palindrome (103533335301).

The spelling of 101012125200 in words is "one hundred one billion, twelve million, one hundred twenty-five thousand, two hundred".