100460514056001 has 48 divisors (see below), whose sum is σ = 147982989235200. Its totient is φ = 60574395736800.

The previous prime is 100460514055907. The next prime is 100460514056009. The reversal of 100460514056001 is 100650415064001.

It is not a de Polignac number, because 100460514056001 - 2²³ = 100460505667393 is a prime.

It is a super-2 number, since 2×100460514056001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100460514056009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047605266 + ... + 1047701156.

It is an arithmetic number, because the mean of its divisors is an integer number (3082978942400).

Almost surely, 2^{100460514056001} is an apocalyptic number.

100460514056001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100460514056001 is a deficient number, since it is larger than the sum of its proper divisors (47522475179199).

100460514056001 is a wasteful number, since it uses less digits than its factorization.

100460514056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110618 (or 110607 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 100460514056001 in words is "one hundred trillion, four hundred sixty billion, five hundred fourteen million, fifty-six thousand, one".