102202020022101 has 128 divisors (see below), whose sum is σ = 148272045143040. Its totient is φ = 62483058892800.

The previous prime is 102202020022079. The next prime is 102202020022153. The reversal of 102202020022101 is 101220020202201.

It is not a de Polignac number, because 102202020022101 - 2¹³ = 102202020013909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202020022301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16664275431 + ... + 16664281563.

It is an arithmetic number, because the mean of its divisors is an integer number (1158375352680).

Almost surely, 2^{102202020022101} is an apocalyptic number.

It is an amenable number.

102202020022101 is a deficient number, since it is larger than the sum of its proper divisors (46070025120939).

102202020022101 is a wasteful number, since it uses less digits than its factorization.

102202020022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202020022101 its reverse (101220020202201), we get a palindrome (203422040224302).

The spelling of 102202020022101 in words is "one hundred two trillion, two hundred two billion, twenty million, twenty-two thousand, one hundred one".