101055050000 has 120 divisors (see below), whose sum is σ = 247487675400. Its totient is φ = 39966080000.

The previous prime is 101055049999. The next prime is 101055050027. The reversal of 101055050000 is 50550101.

It can be written as a sum of positive squares in 12 ways, for example, as 78857625856 + 22197424144 = 280816^2 + 148988^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4438646 + ... + 4461354.

It is an arithmetic number, because the mean of its divisors is an integer number (2062397295).

Almost surely, 2^101055050000 is an apocalyptic number.

101055050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101055050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123743837700).

101055050000 is an abundant number, since it is smaller than the sum of its proper divisors (146432625400).

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

101055050000 is an frugal number, since it uses more digits than its factorization.

101055050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22831 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 101055050000 in words is "one hundred one billion, fifty-five million, fifty thousand".