101023211320200 has 144 divisors (see below), whose sum is σ = 365367281026020. Its totient is φ = 24867252011520.

The previous prime is 101023211320177. The next prime is 101023211320237. The reversal of 101023211320200 is 2023112320101.

101023211320200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 321 + 1 + 320 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38647682159076 + 62375529161124 = 6216726^2 + 7897818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2158592227 + ... + 2158639026.

Almost surely, 2^{101023211320200} is an apocalyptic number.

101023211320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023211320200 is an abundant number, since it is smaller than the sum of its proper divisors (264344069705820).

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

101023211320200 is a wasteful number, since it uses less digits than its factorization.

101023211320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317231288 (or 4317231276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101023211320200 its reverse (2023112320101), we get a palindrome (103046323640301).

Subtracting from 101023211320200 its reverse (2023112320101), we obtain a palindrome (99000099000099).

The spelling of 101023211320200 in words is "one hundred one trillion, twenty-three billion, two hundred eleven million, three hundred twenty thousand, two hundred".