101202202101 has 64 divisors (see below), whose sum is σ = 182967515136. Its totient is φ = 48047904000.

The previous prime is 101202202093. The next prime is 101202202141.

101202202101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101202202101 - 2³ = 101202202093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202202141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136470 + ... + 470136.

It is an arithmetic number, because the mean of its divisors is an integer number (2858867424).

Almost surely, 2^101202202101 is an apocalyptic number.

101202202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202202101 is a deficient number, since it is larger than the sum of its proper divisors (81765313035).

101202202101 is a wasteful number, since it uses less digits than its factorization.

101202202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333802.

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

It can be divided in two parts, 101202 and 202101, that added together give a palindrome (303303).

The spelling of 101202202101 in words is "one hundred one billion, two hundred two million, two hundred two thousand, one hundred one".