101000010000000 has 1024 divisors, whose sum is σ = 362617040448000. Its totient is φ = 24820992000000.

The previous prime is 101000009999897. The next prime is 101000010000073. The reversal of 101000010000000 is 10000101.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101000010000000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21089997606 + ... + 21090002394.

Almost surely, 2^{101000010000000} is an apocalyptic number.

101000010000000 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 101000010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181308520224000).

101000010000000 is an abundant number, since it is smaller than the sum of its proper divisors (261617030448000).

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

101000010000000 is an frugal number, since it uses more digits than its factorization.

101000010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 101000010000000 its reverse (10000101), we get a palindrome (101000020000101).

The spelling of 101000010000000 in words is "one hundred one trillion, ten million", and thus it is an aban number.