100221021121120 has 48 divisors (see below), whose sum is σ = 236773404313488. Its totient is φ = 40088198177280.

The previous prime is 100221021121079. The next prime is 100221021121153. The reversal of 100221021121120 is 21121120122001.

It is a super-2 number, since 2×100221021121120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100221021121094 and 100221021121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30974227 + ... + 34056493.

It is an arithmetic number, because the mean of its divisors is an integer number (4932779256531).

Almost surely, 2^{100221021121120} is an apocalyptic number.

100221021121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221021121120 is an abundant number, since it is smaller than the sum of its proper divisors (136552383192368).

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

100221021121120 is a wasteful number, since it uses less digits than its factorization.

100221021121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285503 (or 3285495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100221021121120 its reverse (21121120122001), we get a palindrome (121342141243121).

The spelling of 100221021121120 in words is "one hundred trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty".