100221121200020 has 24 divisors (see below), whose sum is σ = 210466917091368. Its totient is φ = 40087960371200.

The previous prime is 100221121199993. The next prime is 100221121200023. The reversal of 100221121200020 is 20002121122001.

It can be written as a sum of positive squares in 4 ways, for example, as 34193927056 + 100186927272964 = 184916^2 + 10009342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100221121199968 and 100221121200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221121200023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28820861 + ... + 32110500.

It is an arithmetic number, because the mean of its divisors is an integer number (8769454878807).

Almost surely, 2^{100221121200020} is an apocalyptic number.

100221121200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221121200020 is an abundant number, since it is smaller than the sum of its proper divisors (110245795891348).

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

100221121200020 is a wasteful number, since it uses less digits than its factorization.

100221121200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61013611 (or 61013609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221121200020 its reverse (20002121122001), we get a palindrome (120223242322021).

The spelling of 100221121200020 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, twenty".