101012122202120 has 64 divisors (see below), whose sum is σ = 228253127137200. Its totient is φ = 40231725875200.

The previous prime is 101012122202041. The next prime is 101012122202143. The reversal of 101012122202120 is 21202221210101.

It can be written as a sum of positive squares in 8 ways, for example, as 82520109747364 + 18492012454756 = 9084058^2 + 4300234^2 .

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, 3281216 + ... + 14587344.

Almost surely, 2^{101012122202120} is an apocalyptic number.

101012122202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012122202120 is an abundant number, since it is smaller than the sum of its proper divisors (127241004935080).

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

101012122202120 is a wasteful number, since it uses less digits than its factorization.

101012122202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307098 (or 11307094 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101012122202120 its reverse (21202221210101), we get a palindrome (122214343412221).

The spelling of 101012122202120 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".