102202113301123 has 32 divisors (see below), whose sum is σ = 115482147379200. Its totient is φ = 89594950972800.

The previous prime is 102202113301109. The next prime is 102202113301139. The reversal of 102202113301123 is 321103311202201.

It is a cyclic number.

It is not a de Polignac number, because 102202113301123 - 2²¹ = 102202111203971 is a prime.

It is a super-2 number, since 2×102202113301123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102202113301094 and 102202113301103.

It is not an unprimeable number, because it can be changed into a prime (102202113301153) 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, 2200758738 + ... + 2200805176.

It is an arithmetic number, because the mean of its divisors is an integer number (3608817105600).

Almost surely, 2^{102202113301123} is an apocalyptic number.

102202113301123 is a deficient number, since it is larger than the sum of its proper divisors (13280034078077).

102202113301123 is a wasteful number, since it uses less digits than its factorization.

102202113301123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54963.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102202113301123 its reverse (321103311202201), we get a palindrome (423305424503324).

The spelling of 102202113301123 in words is "one hundred two trillion, two hundred two billion, one hundred thirteen million, three hundred one thousand, one hundred twenty-three".