102321000123201 has 24 divisors (see below), whose sum is σ = 147974555820000. Its totient is φ = 68132070841536.

The previous prime is 102321000123187. The next prime is 102321000123283.

102321000123201 is a `hidden beast` number, since 1 + 0 + 232 + 100 + 0 + 12 + 320 + 1 = 666.

102321000123201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102321000123201 - 2⁵ = 102321000123169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102321000123701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62430066 + ... + 64048068.

It is an arithmetic number, because the mean of its divisors is an integer number (6165606492500).

Almost surely, 2^{102321000123201} is an apocalyptic number.

It is an amenable number.

102321000123201 is a deficient number, since it is larger than the sum of its proper divisors (45653555696799).

102321000123201 is a wasteful number, since it uses less digits than its factorization.

102321000123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626445 (or 1626442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 102321000 and 123201, that added together give a palindrome (102444201).

The spelling of 102321000123201 in words is "one hundred two trillion, three hundred twenty-one billion, one hundred twenty-three thousand, two hundred one".