102202133210101 has 16 divisors (see below), whose sum is σ = 103947118940160. Its totient is φ = 100465756317360.

The previous prime is 102202133210071. The next prime is 102202133210131. The reversal of 102202133210101 is 101012331202201.

It is an interprime number because it is at equal distance from previous prime (102202133210071) and next prime (102202133210131).

It is a cyclic number.

It is not a de Polignac number, because 102202133210101 - 2⁷ = 102202133209973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202133210131) 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, 117317610 + ... + 118185556.

It is an arithmetic number, because the mean of its divisors is an integer number (6496694933760).

Almost surely, 2^{102202133210101} is an apocalyptic number.

It is an amenable number.

102202133210101 is a deficient number, since it is larger than the sum of its proper divisors (1744985730059).

102202133210101 is an equidigital number, since it uses as much as digits as its factorization.

102202133210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872904.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102202133210101 its reverse (101012331202201), we get a palindrome (203214464412302).

The spelling of 102202133210101 in words is "one hundred two trillion, two hundred two billion, one hundred thirty-three million, two hundred ten thousand, one hundred one".