202102102101 has 16 divisors (see below), whose sum is σ = 269785027584. Its totient is φ = 134577024624.

The previous prime is 202102102073. The next prime is 202102102109. The reversal of 202102102101 is 101201201202.

202102102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202102102101 - 2¹⁸ = 202101839957 is a prime.

It is a super-2 number, since 2×202102102101² (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 (202102102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20070670 + ... + 20080736.

It is an arithmetic number, because the mean of its divisors is an integer number (16861564224).

Almost surely, 2^202102102101 is an apocalyptic number.

It is an amenable number.

202102102101 is a deficient number, since it is larger than the sum of its proper divisors (67682925483).

202102102101 is a wasteful number, since it uses less digits than its factorization.

202102102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17240.

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

Adding to 202102102101 its reverse (101201201202), we get a palindrome (303303303303).

The spelling of 202102102101 in words is "two hundred two billion, one hundred two million, one hundred two thousand, one hundred one".