100101021152 has 96 divisors (see below), whose sum is σ = 216432518400. Its totient is φ = 45196211200.

The previous prime is 100101021149. The next prime is 100101021173. The reversal of 100101021152 is 251120101001.

100101021152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35507999 + ... + 35510817.

It is an arithmetic number, because the mean of its divisors is an integer number (2254505400).

Almost surely, 2^100101021152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101021152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108216259200).

100101021152 is an abundant number, since it is smaller than the sum of its proper divisors (116331497248).

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

100101021152 is a wasteful number, since it uses less digits than its factorization.

100101021152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 100101021152 its reverse (251120101001), we get a palindrome (351221122153).

The spelling of 100101021152 in words is "one hundred billion, one hundred one million, twenty-one thousand, one hundred fifty-two".