202000211300101 has 16 divisors (see below), whose sum is σ = 208071874418800. Its totient is φ = 195960865282560.

The previous prime is 202000211300093. The next prime is 202000211300159. The reversal of 202000211300101 is 101003112000202.

It can be written as a sum of positive squares in 8 ways, for example, as 44798792376100 + 157201418924001 = 6693190^2 + 12537999^2 .

It is a cyclic number.

It is not a de Polignac number, because 202000211300101 - 2³ = 202000211300093 is a prime.

It is a super-2 number, since 2×202000211300101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202000211300161) 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, 151982905 + ... + 153306241.

It is an arithmetic number, because the mean of its divisors is an integer number (13004492151175).

Almost surely, 2^{202000211300101} is an apocalyptic number.

It is an amenable number.

202000211300101 is a deficient number, since it is larger than the sum of its proper divisors (6071663118699).

202000211300101 is a wasteful number, since it uses less digits than its factorization.

202000211300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335544.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 202000211300101 its reverse (101003112000202), we get a palindrome (303003323300303).

The spelling of 202000211300101 in words is "two hundred two trillion, two hundred eleven million, three hundred thousand, one hundred one".