101010111000000 has 784 divisors, whose sum is σ = 347467552358400. Its totient is φ = 25874035200000.

The previous prime is 101010110999951. The next prime is 101010111000041. The reversal of 101010111000000 is 111010101.

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 111 ways as a sum of consecutive naturals, for example, 8768994241 + ... + 8769005759.

Almost surely, 2^{101010111000000} is an apocalyptic number.

101010111000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173733776179200).

101010111000000 is an abundant number, since it is smaller than the sum of its proper divisors (246457441358400).

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

101010111000000 is an frugal number, since it uses more digits than its factorization.

101010111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 11645 counting only the distinct ones).

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

Adding to 101010111000000 its reverse (111010101), we get a palindrome (101010222010101).

The spelling of 101010111000000 in words is "one hundred one trillion, ten billion, one hundred eleven million", and thus it is an aban number.