100105500510101 has 8 divisors (see below), whose sum is σ = 100338604588800. Its totient is φ = 99872441552128.

The previous prime is 100105500510079. The next prime is 100105500510109. The reversal of 100105500510101 is 101015005501001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105500510101 is a prime.

It is a super-2 number, since 2×100105500510101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105500510109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6835751 + ... + 15714276.

It is an arithmetic number, because the mean of its divisors is an integer number (12542325573600).

Almost surely, 2^{100105500510101} is an apocalyptic number.

It is an amenable number.

100105500510101 is a deficient number, since it is larger than the sum of its proper divisors (233104078699).

100105500510101 is an equidigital number, since it uses as much as digits as its factorization.

100105500510101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22560363.

The product of its (nonzero) digits is 125, while the sum is 20.

The spelling of 100105500510101 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred ten thousand, one hundred one".