101055501055000 has 80 divisors (see below), whose sum is σ = 237131251022160. Its totient is φ = 40361046000000.

The previous prime is 101055501054983. The next prime is 101055501055007. The reversal of 101055501055000 is 550105550101.

101055501055000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101055501055000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101055501055000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101055501055007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11983276 + ... + 18593275.

It is an arithmetic number, because the mean of its divisors is an integer number (2964140637777).

Almost surely, 2^{101055501055000} is an apocalyptic number.

101055501055000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101055501055000 is an abundant number, since it is smaller than the sum of its proper divisors (136075749967160).

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

101055501055000 is an equidigital number, since it uses as much as digits as its factorization.

101055501055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30577238 (or 30577219 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 101055501055000 in words is "one hundred one trillion, fifty-five billion, five hundred one million, fifty-five thousand".