101012201002120 has 32 divisors (see below), whose sum is σ = 227278158237720. Its totient is φ = 40404754892800.

The previous prime is 101012201002103. The next prime is 101012201002169. The reversal of 101012201002120 is 21200102210101.

It can be written as a sum of positive squares in 4 ways, for example, as 57993372854244 + 43018828147876 = 7615338^2 + 6558874^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101012201002120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9700170 + ... + 17208070.

Almost surely, 2^{101012201002120} is an apocalyptic number.

101012201002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012201002120 is an abundant number, since it is smaller than the sum of its proper divisors (126265957235600).

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

101012201002120 is a wasteful number, since it uses less digits than its factorization.

101012201002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844265 (or 7844261 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101012201002120 its reverse (21200102210101), we get a palindrome (122212303212221).

The spelling of 101012201002120 in words is "one hundred one trillion, twelve billion, two hundred one million, two thousand, one hundred twenty".