100221012201000 has 128 divisors (see below), whose sum is σ = 317356567032960. Its totient is φ = 26326713600000.

The previous prime is 100221012200983. The next prime is 100221012201029. The reversal of 100221012201000 is 102210122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249105001 + ... + 249507000.

It is an arithmetic number, because the mean of its divisors is an integer number (2479348179945).

Almost surely, 2^{100221012201000} is an apocalyptic number.

100221012201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221012201000 is an abundant number, since it is smaller than the sum of its proper divisors (217135554831960).

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

100221012201000 is a wasteful number, since it uses less digits than its factorization.

100221012201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498612092 (or 498612078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100221012201000 its reverse (102210122001), we get a palindrome (100323222323001).

The spelling of 100221012201000 in words is "one hundred trillion, two hundred twenty-one billion, twelve million, two hundred one thousand".