100210120121120 has 48 divisors (see below), whose sum is σ = 249206746098240. Its totient is φ = 37974361307904.

The previous prime is 100210120121093. The next prime is 100210120121129. The reversal of 100210120121120 is 21121021012001.

It is a junction number, because it is equal to n+sod(n) for n = 100210120121095 and 100210120121104.

It is not an unprimeable number, because it can be changed into a prime (100210120121129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16481924612 + ... + 16481930691.

It is an arithmetic number, because the mean of its divisors is an integer number (5191807210380).

Almost surely, 2^{100210120121120} is an apocalyptic number.

100210120121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210120121120 is an abundant number, since it is smaller than the sum of its proper divisors (148996625977120).

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

100210120121120 is a wasteful number, since it uses less digits than its factorization.

100210120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32963855337 (or 32963855329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210120121120 its reverse (21121021012001), we get a palindrome (121331141133121).

The spelling of 100210120121120 in words is "one hundred trillion, two hundred ten billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".