101569890000 has 200 divisors, whose sum is σ = 339190299360. Its totient is φ = 26151104000.

The previous prime is 101569889989. The next prime is 101569890047. The reversal of 101569890000 is 98965101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×101569890000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 811627 + ... + 928373.

Almost surely, 2^101569890000 is an apocalyptic number.

101569890000 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 101569890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169595149680).

101569890000 is an abundant number, since it is smaller than the sum of its proper divisors (237620409360).

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

101569890000 is a wasteful number, since it uses less digits than its factorization.

101569890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116807 (or 116786 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The spelling of 101569890000 in words is "one hundred one billion, five hundred sixty-nine million, eight hundred ninety thousand".