100021013101332 has 96 divisors (see below), whose sum is σ = 268541209896960. Its totient is φ = 32172631716960.

The previous prime is 100021013101319. The next prime is 100021013101343. The reversal of 100021013101332 is 233101310120001.

100021013101332 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 21 + 0 + 1 + 310 + 1 + 332 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129359644 + ... + 130130547.

It is an arithmetic number, because the mean of its divisors is an integer number (2797304269760).

Almost surely, 2^{100021013101332} is an apocalyptic number.

100021013101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021013101332 is an abundant number, since it is smaller than the sum of its proper divisors (168520196795628).

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

100021013101332 is a wasteful number, since it uses less digits than its factorization.

100021013101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259490330 (or 259490322 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100021013101332 its reverse (233101310120001), we get a palindrome (333122323221333).

The spelling of 100021013101332 in words is "one hundred trillion, twenty-one billion, thirteen million, one hundred one thousand, three hundred thirty-two".