101010120012201 has 32 divisors (see below), whose sum is σ = 138443625121536. Its totient is φ = 65461616640000.

The previous prime is 101010120012163. The next prime is 101010120012209. The reversal of 101010120012201 is 102210021010101.

It is not a de Polignac number, because 101010120012201 - 2²³ = 101010111623593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010120012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751490601 + ... + 751625001.

It is an arithmetic number, because the mean of its divisors is an integer number (4326363285048).

Almost surely, 2^{101010120012201} is an apocalyptic number.

It is an amenable number.

101010120012201 is a deficient number, since it is larger than the sum of its proper divisors (37433505109335).

101010120012201 is a wasteful number, since it uses less digits than its factorization.

101010120012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140433.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101010120012201 its reverse (102210021010101), we get a palindrome (203220141022302).

The spelling of 101010120012201 in words is "one hundred one trillion, ten billion, one hundred twenty million, twelve thousand, two hundred one".