101050501056100 has 18 divisors (see below), whose sum is σ = 219279587291954. Its totient is φ = 40420200422400.

The previous prime is 101050501056073. The next prime is 101050501056139. The reversal of 101050501056100 is 1650105050101.

It can be written as a sum of positive squares in 3 ways, for example, as 5225823432036 + 95824677624064 = 2286006^2 + 9789008^2 .

It is a super-2 number, since 2×101050501056100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505252505181 + ... + 505252505380.

Almost surely, 2^{101050501056100} is an apocalyptic number.

101050501056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101050501056100 is an abundant number, since it is smaller than the sum of its proper divisors (118229086235854).

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

101050501056100 is a wasteful number, since it uses less digits than its factorization.

101050501056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010505010575 (or 1010505010568 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 101050501056100 in words is "one hundred one trillion, fifty billion, five hundred one million, fifty-six thousand, one hundred".