100221302120100 has 72 divisors (see below), whose sum is σ = 331398439017408. Its totient is φ = 22907726198400.

The previous prime is 100221302120047. The next prime is 100221302120207. The reversal of 100221302120100 is 1021203122001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100221302120100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23862212691 + ... + 23862216890.

It is an arithmetic number, because the mean of its divisors is an integer number (4602756097464).

Almost surely, 2^{100221302120100} is an apocalyptic number.

100221302120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221302120100 is an abundant number, since it is smaller than the sum of its proper divisors (231177136897308).

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

100221302120100 is a wasteful number, since it uses less digits than its factorization.

100221302120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47724429605 (or 47724429598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100221302120100 its reverse (1021203122001), we get a palindrome (101242505242101).

The spelling of 100221302120100 in words is "one hundred trillion, two hundred twenty-one billion, three hundred two million, one hundred twenty thousand, one hundred".