10232100123201 has 48 divisors (see below), whose sum is σ = 16562363545728. Its totient is φ = 6032472364800.

The previous prime is 10232100123107. The next prime is 10232100123211.

10232100123201 is a `hidden beast` number, since 1 + 0 + 232 + 100 + 12 + 320 + 1 = 666.

10232100123201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10232100123201 - 2⁹ = 10232100122689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10232100123211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18336820 + ... + 18886586.

It is an arithmetic number, because the mean of its divisors is an integer number (345049240536).

Almost surely, 2^{10232100123201} is an apocalyptic number.

10232100123201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10232100123201 is a deficient number, since it is larger than the sum of its proper divisors (6330263422527).

10232100123201 is a wasteful number, since it uses less digits than its factorization.

10232100123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554902 (or 554899 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, 10232100 and 123201, that added together give a palindrome (10355301).

The spelling of 10232100123201 in words is "ten trillion, two hundred thirty-two billion, one hundred million, one hundred twenty-three thousand, two hundred one".