101321100021132 has 96 divisors (see below), whose sum is σ = 272277442698240. Its totient is φ = 32561750675520.

The previous prime is 101321100021103. The next prime is 101321100021263. The reversal of 101321100021132 is 231120001123101.

101321100021132 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 100 + 0 + 211 + 32 = 666.

It is a super-2 number, since 2×101321100021132² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 148621219 + ... + 149301402.

It is an arithmetic number, because the mean of its divisors is an integer number (2836223361440).

Almost surely, 2^{101321100021132} is an apocalyptic number.

101321100021132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101321100021132 is an abundant number, since it is smaller than the sum of its proper divisors (170956342677108).

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

101321100021132 is a wasteful number, since it uses less digits than its factorization.

101321100021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297922748 (or 297922740 counting only the distinct ones).

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

Adding to 101321100021132 its reverse (231120001123101), we get a palindrome (332441101144233).

The spelling of 101321100021132 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred million, twenty-one thousand, one hundred thirty-two".