10100100010 has 384 divisors, whose sum is σ = 26930776320. Its totient is φ = 2670796800.

The previous prime is 10100100007. The next prime is 10100100029. The reversal of 10100100010 is 1000100101.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72662521 + ... + 72662659.

It is an arithmetic number, because the mean of its divisors is an integer number (70132230).

Almost surely, 2^10100100010 is an apocalyptic number.

10100100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100100010 is an abundant number, since it is smaller than the sum of its proper divisors (16830676310).

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

10100100010 is a wasteful number, since it uses less digits than its factorization.

10100100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100100010 its reverse (1000100101), we get a palindrome (11100200111).

Subtracting from 10100100010 its reverse (1000100101), we obtain a palindrome (9099999909).

The spelling of 10100100010 in words is "ten billion, one hundred million, one hundred thousand, ten".