101000110002000 has 160 divisors (see below), whose sum is σ = 355226568937344. Its totient is φ = 24484875136000.

The previous prime is 101000110001783. The next prime is 101000110002013. The reversal of 101000110002000 is 200011000101.

It is a super-2 number, since 2×101000110002000² (a number of 29 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 101000110002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765086349 + ... + 765218348.

Almost surely, 2^{101000110002000} is an apocalyptic number.

101000110002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000110002000 is an abundant number, since it is smaller than the sum of its proper divisors (254226458935344).

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

101000110002000 is a wasteful number, since it uses less digits than its factorization.

101000110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530304734 (or 1530304718 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101000110002000 its reverse (200011000101), we get a palindrome (101200121002101).

The spelling of 101000110002000 in words is "one hundred one trillion, one hundred ten million, two thousand".