10100010101000 has 64 divisors (see below), whose sum is σ = 24877919664000. Its totient is φ = 3827372241600.

The previous prime is 10100010100987. The next prime is 10100010101009. The reversal of 10100010101000 is 10101000101.

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

It is not an unprimeable number, because it can be changed into a prime (10100010101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265770740 + ... + 265808739.

It is an arithmetic number, because the mean of its divisors is an integer number (388717494750).

Almost surely, 2^{10100010101000} is an apocalyptic number.

10100010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100010101000 is an abundant number, since it is smaller than the sum of its proper divisors (14777909563000).

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

10100010101000 is a wasteful number, since it uses less digits than its factorization.

10100010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531579519 (or 531579505 counting only the distinct ones).

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

Adding to 10100010101000 its reverse (10101000101), we get a palindrome (10110111101101).

The spelling of 10100010101000 in words is "ten trillion, one hundred billion, ten million, one hundred one thousand".