100000101000101 has 16 divisors (see below), whose sum is σ = 102828545654016. Its totient is φ = 97190280000000.

The previous prime is 100000101000071. The next prime is 100000101000131. The reversal of 100000101000101 is 101000101000001.

It is an interprime number because it is at equal distance from previous prime (100000101000071) and next prime (100000101000131).

It is a cyclic number.

It is not a de Polignac number, because 100000101000101 - 2²² = 100000096805797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000101000131) 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, 100515101 + ... + 101505101.

It is an arithmetic number, because the mean of its divisors is an integer number (6426784103376).

Almost surely, 2^{100000101000101} is an apocalyptic number.

It is an amenable number.

100000101000101 is a deficient number, since it is larger than the sum of its proper divisors (2828444653915).

100000101000101 is an equidigital number, since it uses as much as digits as its factorization.

100000101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999404.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000101000101 its reverse (101000101000001), we get a palindrome (201000202000102).

The spelling of 100000101000101 in words is "one hundred trillion, one hundred one million, one hundred one", and thus it is an aban number.