202133102101 has 24 divisors (see below), whose sum is σ = 249175324440. Its totient is φ = 163202457600.

The previous prime is 202133102077. The next prime is 202133102113. The reversal of 202133102101 is 101201331202.

It can be written as a sum of positive squares in 4 ways, for example, as 12907232100 + 189225870001 = 113610^2 + 435001^2 .

It is not a de Polignac number, because 202133102101 - 2⁵ = 202133102069 is a prime.

It is a super-2 number, since 2×202133102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202133102161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676460 + ... + 1792981.

It is an arithmetic number, because the mean of its divisors is an integer number (10382305185).

Almost surely, 2^202133102101 is an apocalyptic number.

It is an amenable number.

202133102101 is a deficient number, since it is larger than the sum of its proper divisors (47042222339).

202133102101 is a wasteful number, since it uses less digits than its factorization.

202133102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469525 (or 3469518 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 202133102101 its reverse (101201331202), we get a palindrome (303334433303).

The spelling of 202133102101 in words is "two hundred two billion, one hundred thirty-three million, one hundred two thousand, one hundred one".