100122101221032 has 72 divisors (see below), whose sum is σ = 298056324080970. Its totient is φ = 30340030670400.

The previous prime is 100122101220979. The next prime is 100122101221033. The reversal of 100122101221032 is 230122101221001.

100122101221032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 84294323265636 + 15827777955396 = 9181194^2 + 3978414^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 100122101220996 and 100122101221014.

It is not an unprimeable number, because it can be changed into a prime (100122101221033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5746209219 + ... + 5746226642.

Almost surely, 2^{100122101221032} is an apocalyptic number.

100122101221032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122101221032 is an abundant number, since it is smaller than the sum of its proper divisors (197934222859938).

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

100122101221032 is a wasteful number, since it uses less digits than its factorization.

100122101221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11492435895 (or 11492435877 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100122101221032 its reverse (230122101221001), we get a palindrome (330244202442033).

The spelling of 100122101221032 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, thirty-two".