100020221010000 has 200 divisors, whose sum is σ = 358754011468160. Its totient is φ = 26672058864000.

The previous prime is 100020221009983. The next prime is 100020221010007. The reversal of 100020221010000 is 10122020001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×100020221010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020221010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184952632 + ... + 185492631.

Almost surely, 2^{100020221010000} is an apocalyptic number.

100020221010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020221010000 is an abundant number, since it is smaller than the sum of its proper divisors (258733790458160).

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

100020221010000 is an equidigital number, since it uses as much as digits as its factorization.

100020221010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370445300 (or 370445273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020221010000 its reverse (10122020001), we get a palindrome (100030343030001).

The spelling of 100020221010000 in words is "one hundred trillion, twenty billion, two hundred twenty-one million, ten thousand".