100202020201220 has 144 divisors (see below), whose sum is σ = 249482081162160. Its totient is φ = 33695366455296.

The previous prime is 100202020201177. The next prime is 100202020201237. The reversal of 100202020201220 is 22102020202001.

It can be written as a sum of positive squares in 8 ways, for example, as 12336293437636 + 87865726763584 = 3512306^2 + 9373672^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100202020201195 and 100202020201204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153884972 + ... + 154534748.

It is an arithmetic number, because the mean of its divisors is an integer number (1732514452515).

Almost surely, 2^{100202020201220} is an apocalyptic number.

100202020201220 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 100202020201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124741040581080).

100202020201220 is an abundant number, since it is smaller than the sum of its proper divisors (149280060960940).

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

100202020201220 is a wasteful number, since it uses less digits than its factorization.

100202020201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652822 (or 652813 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100202020201220 its reverse (22102020202001), we get a palindrome (122304040403221).

The spelling of 100202020201220 in words is "one hundred trillion, two hundred two billion, twenty million, two hundred one thousand, two hundred twenty".