101012200022120 has 16 divisors (see below), whose sum is σ = 227277450049860. Its totient is φ = 40404880008832.

The previous prime is 101012200022119. The next prime is 101012200022159. The reversal of 101012200022120 is 21220002210101.

It can be written as a sum of positive squares in 2 ways, for example, as 100834252723876 + 177947298244 = 10041626^2 + 421838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101012200022095 and 101012200022104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262652500237 + ... + 1262652500316.

Almost surely, 2^{101012200022120} is an apocalyptic number.

101012200022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012200022120 is an abundant number, since it is smaller than the sum of its proper divisors (126265250027740).

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

101012200022120 is a wasteful number, since it uses less digits than its factorization.

101012200022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525305000564 (or 2525305000560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101012200022120 its reverse (21220002210101), we get a palindrome (122232202232221).

The spelling of 101012200022120 in words is "one hundred one trillion, twelve billion, two hundred million, twenty-two thousand, one hundred twenty".