10100010011000 has 128 divisors (see below), whose sum is σ = 29088029093760. Its totient is φ = 3196486656000.

The previous prime is 10100010010969. The next prime is 10100010011023. The reversal of 10100010011000 is 11001000101.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 55403561 + ... + 55585560.

It is an arithmetic number, because the mean of its divisors is an integer number (227250227295).

Almost surely, 2^{10100010011000} is an apocalyptic number.

10100010011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100010011000 is an abundant number, since it is smaller than the sum of its proper divisors (18988019082760).

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

10100010011000 is a wasteful number, since it uses less digits than its factorization.

10100010011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110989162 (or 110989148 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100010011000 its reverse (11001000101), we get a palindrome (10111011011101).

The spelling of 10100010011000 in words is "ten trillion, one hundred billion, ten million, eleven thousand".