102202210120101 has 32 divisors (see below), whose sum is σ = 167727374008320. Its totient is φ = 53905345953984.

The previous prime is 102202210120097. The next prime is 102202210120111. The reversal of 102202210120101 is 101021012202201.

It is not a de Polignac number, because 102202210120101 - 2² = 102202210120097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202210120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7994215 + ... + 16380228.

It is an arithmetic number, because the mean of its divisors is an integer number (5241480437760).

Almost surely, 2^{102202210120101} is an apocalyptic number.

It is an amenable number.

102202210120101 is a deficient number, since it is larger than the sum of its proper divisors (65525163888219).

102202210120101 is a wasteful number, since it uses less digits than its factorization.

102202210120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24389825.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102202210120101 its reverse (101021012202201), we get a palindrome (203223222322302).

The spelling of 102202210120101 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, one hundred twenty thousand, one hundred one".