101004762010 has 32 divisors (see below), whose sum is σ = 182739414672. Its totient is φ = 40195491840.

The previous prime is 101004762007. The next prime is 101004762043. The reversal of 101004762010 is 10267400101.

It can be written as a sum of positive squares in 8 ways, for example, as 786297681 + 100218464329 = 28041^2 + 316573^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837120 + ... + 1891300.

Almost surely, 2^101004762010 is an apocalyptic number.

101004762010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101004762010 is a deficient number, since it is larger than the sum of its proper divisors (81734652662).

101004762010 is a wasteful number, since it uses less digits than its factorization.

101004762010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55138.

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 101004762010 in words is "one hundred one billion, four million, seven hundred sixty-two thousand, ten".