101200002012120 has 64 divisors (see below), whose sum is σ = 331200006589440. Its totient is φ = 24533333820800.

The previous prime is 101200002012101. The next prime is 101200002012133. The reversal of 101200002012120 is 21210200002101.

101200002012120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 101200002012096 and 101200002012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38333332776 + ... + 38333335415.

It is an arithmetic number, because the mean of its divisors is an integer number (5175000102960).

Almost surely, 2^{101200002012120} is an apocalyptic number.

101200002012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200002012120 is an abundant number, since it is smaller than the sum of its proper divisors (230000004577320).

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

101200002012120 is a wasteful number, since it uses less digits than its factorization.

101200002012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76666668216 (or 76666668212 counting only the distinct ones).

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

Adding to 101200002012120 its reverse (21210200002101), we get a palindrome (122410202014221).

The spelling of 101200002012120 in words is "one hundred one trillion, two hundred billion, two million, twelve thousand, one hundred twenty".