10100200011000 has 256 divisors, whose sum is σ = 35562839270400. Its totient is φ = 2364100928000.

The previous prime is 10100200010977. The next prime is 10100200011001. The reversal of 10100200011000 is 11000200101.

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 10100200011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100200011001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4320012 + ... + 6234011.

It is an arithmetic number, because the mean of its divisors is an integer number (138917340900).

Almost surely, 2^{10100200011000} is an apocalyptic number.

10100200011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100200011000 is an abundant number, since it is smaller than the sum of its proper divisors (25462639259400).

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

10100200011000 is a wasteful number, since it uses less digits than its factorization.

10100200011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10554087 (or 10554073 counting only the distinct ones).

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

Adding to 10100200011000 its reverse (11000200101), we get a palindrome (10111200211101).

The spelling of 10100200011000 in words is "ten trillion, one hundred billion, two hundred million, eleven thousand".