102202120121101 has 32 divisors (see below), whose sum is σ = 137383298535168. Its totient is φ = 73425833303040.

The previous prime is 102202120121093. The next prime is 102202120121107. The reversal of 102202120121101 is 101121021202201.

It is a cyclic number.

It is not a de Polignac number, because 102202120121101 - 2³ = 102202120121093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202120121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58993756 + ... + 60701461.

It is an arithmetic number, because the mean of its divisors is an integer number (4293228079224).

Almost surely, 2^{102202120121101} is an apocalyptic number.

102202120121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202120121101 is a deficient number, since it is larger than the sum of its proper divisors (35181178414067).

102202120121101 is a wasteful number, since it uses less digits than its factorization.

102202120121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119696101.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202120121101 its reverse (101121021202201), we get a palindrome (203323141323302).

The spelling of 102202120121101 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred one".