102321141123201 has 128 divisors (see below), whose sum is σ = 189681813307392. Its totient is φ = 47738993068800.

The previous prime is 102321141123143. The next prime is 102321141123233.

102321141123201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102321141123201 - 2²² = 102321136928897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102321141123101) 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, 9639096 + ... + 17249766.

It is an arithmetic number, because the mean of its divisors is an integer number (1481889166464).

Almost surely, 2^{102321141123201} is an apocalyptic number.

102321141123201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102321141123201 is a deficient number, since it is larger than the sum of its proper divisors (87360672184191).

102321141123201 is a wasteful number, since it uses less digits than its factorization.

102321141123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610764 (or 7610742 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 102321141123201 in words is "one hundred two trillion, three hundred twenty-one billion, one hundred forty-one million, one hundred twenty-three thousand, two hundred one".