202100010201101 has 16 divisors (see below), whose sum is σ = 207497435927040. Its totient is φ = 196785933904560.

The previous prime is 202100010201071. The next prime is 202100010201121. The reversal of 202100010201101 is 101102010001202.

It is a cyclic number.

It is not a de Polignac number, because 202100010201101 - 2¹⁴ = 202100010184717 is a prime.

It is a super-2 number, since 2×202100010201101² (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 (202100010201121) 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 15 ways as a sum of consecutive naturals, for example, 48450755 + ... + 52456416.

It is an arithmetic number, because the mean of its divisors is an integer number (12968589745440).

Almost surely, 2^{202100010201101} is an apocalyptic number.

It is an amenable number.

202100010201101 is a deficient number, since it is larger than the sum of its proper divisors (5397425725939).

202100010201101 is a wasteful number, since it uses less digits than its factorization.

202100010201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100907584.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 202100010201101 its reverse (101102010001202), we get a palindrome (303202020202303).

The spelling of 202100010201101 in words is "two hundred two trillion, one hundred billion, ten million, two hundred one thousand, one hundred one".