102202102101 has 32 divisors (see below), whose sum is σ = 150219248256. Its totient is φ = 61290720000.

The previous prime is 102202102099. The next prime is 102202102109. The reversal of 102202102101 is 101201202201.

It is not a de Polignac number, because 102202102101 - 2¹ = 102202102099 is a prime.

It is a super-2 number, since 2×102202102101² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202102109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6194475 + ... + 6210951.

It is an arithmetic number, because the mean of its divisors is an integer number (4694351508).

Almost surely, 2^102202102101 is an apocalyptic number.

102202102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202102101 is a deficient number, since it is larger than the sum of its proper divisors (48017146155).

102202102101 is a wasteful number, since it uses less digits than its factorization.

102202102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18453.

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

Adding to 102202102101 its reverse (101201202201), we get a palindrome (203403304302).

The spelling of 102202102101 in words is "one hundred two billion, two hundred two million, one hundred two thousand, one hundred one".