101200002122100 has 144 divisors (see below), whose sum is σ = 354319066378368. Its totient is φ = 21770756751360.

The previous prime is 101200002122099. The next prime is 101200002122137. The reversal of 101200002122100 is 1221200002101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417331277 + ... + 1417402676.

It is an arithmetic number, because the mean of its divisors is an integer number (2460549072072).

Almost surely, 2^{101200002122100} is an apocalyptic number.

101200002122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200002122100 is an abundant number, since it is smaller than the sum of its proper divisors (253119064256268).

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

101200002122100 is a wasteful number, since it uses less digits than its factorization.

101200002122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834733994 (or 2834733987 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200002122100 its reverse (1221200002101), we get a palindrome (102421202124201).

The spelling of 101200002122100 in words is "one hundred one trillion, two hundred billion, two million, one hundred twenty-two thousand, one hundred".