101332100021120 has 256 divisors, whose sum is σ = 247260087587520. Its totient is φ = 39703345889280.

The previous prime is 101332100021111. The next prime is 101332100021161. The reversal of 101332100021120 is 21120001233101.

It is a congruent number.

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, 7844856902 + ... + 7844869818.

Almost surely, 2^{101332100021120} is an apocalyptic number.

101332100021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101332100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123630043793760).

101332100021120 is an abundant number, since it is smaller than the sum of its proper divisors (145927987566400).

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

101332100021120 is a wasteful number, since it uses less digits than its factorization.

101332100021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14321 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101332100021120 its reverse (21120001233101), we get a palindrome (122452101254221).

The spelling of 101332100021120 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred million, twenty-one thousand, one hundred twenty".