202032201102101 has 16 divisors (see below), whose sum is σ = 214731340038000. Its totient is φ = 189423735180288.

The previous prime is 202032201102091. The next prime is 202032201102139. The reversal of 202032201102101 is 101201102230202.

It can be written as a sum of positive squares in 8 ways, for example, as 79897676102500 + 122134524999601 = 8938550^2 + 11051449^2 .

It is not a de Polignac number, because 202032201102101 - 2²⁶ = 202032133993237 is a prime.

It is a super-2 number, since 2×202032201102101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202032201102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202032201102181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48052271 + ... + 52087283.

It is an arithmetic number, because the mean of its divisors is an integer number (13420708752375).

Almost surely, 2^{202032201102101} is an apocalyptic number.

It is an amenable number.

202032201102101 is a deficient number, since it is larger than the sum of its proper divisors (12699138935899).

202032201102101 is a wasteful number, since it uses less digits than its factorization.

202032201102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046248.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 202032201102101 its reverse (101201102230202), we get a palindrome (303233303332303).

The spelling of 202032201102101 in words is "two hundred two trillion, thirty-two billion, two hundred one million, one hundred two thousand, one hundred one".