100202334212220 has 192 divisors, whose sum is σ = 298233832006656. Its totient is φ = 25050401648640.

The previous prime is 100202334212213. The next prime is 100202334212251. The reversal of 100202334212220 is 22212433202001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 772677985 + ... + 772807655.

It is an arithmetic number, because the mean of its divisors is an integer number (1553301208368).

Almost surely, 2^{100202334212220} is an apocalyptic number.

100202334212220 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 100202334212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149116916003328).

100202334212220 is an abundant number, since it is smaller than the sum of its proper divisors (198031497794436).

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

100202334212220 is a wasteful number, since it uses less digits than its factorization.

100202334212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132660 (or 132658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100202334212220 its reverse (22212433202001), we get a palindrome (122414767414221).

The spelling of 100202334212220 in words is "one hundred trillion, two hundred two billion, three hundred thirty-four million, two hundred twelve thousand, two hundred twenty".