101000101110000 has 100 divisors (see below), whose sum is σ = 326041793160072. Its totient is φ = 26933360288000.

The previous prime is 101000101109987. The next prime is 101000101110049. The reversal of 101000101110000 is 11101000101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1683305019 + ... + 1683365018.

Almost surely, 2^{101000101110000} is an apocalyptic number.

101000101110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000101110000 is an abundant number, since it is smaller than the sum of its proper divisors (225041692050072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000101110000 is an equidigital number, since it uses as much as digits as its factorization.

101000101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366670068 (or 3366670047 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000101110000 its reverse (11101000101), we get a palindrome (101011202110101).

The spelling of 101000101110000 in words is "one hundred one trillion, one hundred one million, one hundred ten thousand".