101132023011210 has 96 divisors (see below), whose sum is σ = 267930561092688. Its totient is φ = 26457120568320.

The previous prime is 101132023011143. The next prime is 101132023011247. The reversal of 101132023011210 is 12110320231101.

101132023011210 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 320 + 230 + 112 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69398213252481 + 31733809758729 = 8330559^2 + 5633277^2 .

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 47 ways as a sum of consecutive naturals, for example, 48165100 + ... + 50220920.

Almost surely, 2^{101132023011210} is an apocalyptic number.

101132023011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132023011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133965280546344).

101132023011210 is an abundant number, since it is smaller than the sum of its proper divisors (166798538081478).

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

101132023011210 is a wasteful number, since it uses less digits than its factorization.

101132023011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066200 (or 2066197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101132023011210 its reverse (12110320231101), we get a palindrome (113242343242311).

The spelling of 101132023011210 in words is "one hundred one trillion, one hundred thirty-two billion, twenty-three million, eleven thousand, two hundred ten".