100110011021120 has 112 divisors (see below), whose sum is σ = 251628758616000. Its totient is φ = 37936424397312.

The previous prime is 100110011021093. The next prime is 100110011021147. The reversal of 100110011021120 is 21120110011001.

It is an interprime number because it is at equal distance from previous prime (100110011021093) and next prime (100110011021147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20610470 + ... + 25000229.

Almost surely, 2^{100110011021120} is an apocalyptic number.

100110011021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110011021120 is an abundant number, since it is smaller than the sum of its proper divisors (151518747594880).

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

100110011021120 is an frugal number, since it uses more digits than its factorization.

100110011021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45610773 (or 45610725 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110011021120 its reverse (21120110011001), we get a palindrome (121230121032121).

The spelling of 100110011021120 in words is "one hundred trillion, one hundred ten billion, eleven million, twenty-one thousand, one hundred twenty".