101100011202000 has 120 divisors (see below), whose sum is σ = 353108639187720. Its totient is φ = 26960002982400.

The previous prime is 101100011201977. The next prime is 101100011202013. The reversal of 101100011202000 is 202110001101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14938472361024 + 86161538840976 = 3865032^2 + 9282324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2808315645 + ... + 2808351644.

It is an arithmetic number, because the mean of its divisors is an integer number (2942571993231).

Almost surely, 2^{101100011202000} is an apocalyptic number.

101100011202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100011202000 is an abundant number, since it is smaller than the sum of its proper divisors (252008627985720).

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

101100011202000 is a wasteful number, since it uses less digits than its factorization.

101100011202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616667318 (or 5616667299 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100011202000 its reverse (202110001101), we get a palindrome (101302121203101).

The spelling of 101100011202000 in words is "one hundred one trillion, one hundred billion, eleven million, two hundred two thousand".