100600061056101 has 16 divisors (see below), whose sum is σ = 150877092030720. Its totient is φ = 67066707369276.

The previous prime is 100600061056091. The next prime is 100600061056111. The reversal of 100600061056101 is 101650160006001.

100600061056101 is a `hidden beast` number, since 1 + 0 + 0 + 600 + 0 + 6 + 1 + 0 + 56 + 1 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100600061056091) and next prime (100600061056111).

It is not a de Polignac number, because 100600061056101 - 2⁷ = 100600061055973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100600061056111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22999554525 + ... + 22999558898.

It is an arithmetic number, because the mean of its divisors is an integer number (9429818251920).

Almost surely, 2^{100600061056101} is an apocalyptic number.

It is an amenable number.

100600061056101 is a deficient number, since it is larger than the sum of its proper divisors (50277030974619).

100600061056101 is an frugal number, since it uses more digits than its factorization.

100600061056101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45999113444 (or 45999113426 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 100600061056101 in words is "one hundred trillion, six hundred billion, sixty-one million, fifty-six thousand, one hundred one".