100110012021120 has 128 divisors (see below), whose sum is σ = 319105530326880. Its totient is φ = 26695596032000.

The previous prime is 100110012021043. The next prime is 100110012021251. The reversal of 100110012021120 is 21120210011001.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 100110012021096 and 100110012021105.

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, 138072340 + ... + 138795500.

Almost surely, 2^{100110012021120} is an apocalyptic number.

100110012021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110012021120 is an abundant number, since it is smaller than the sum of its proper divisors (218995518305760).

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

100110012021120 is an equidigital number, since it uses as much as digits as its factorization.

100110012021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795284 (or 795272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100110012021120 its reverse (21120210011001), we get a palindrome (121230222032121).

The spelling of 100110012021120 in words is "one hundred trillion, one hundred ten billion, twelve million, twenty-one thousand, one hundred twenty".