10002120101120 has 288 divisors, whose sum is σ = 28274682218496. Its totient is φ = 3317428224000.

The previous prime is 10002120101101. The next prime is 10002120101209. The reversal of 10002120101120 is 2110102120001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010208170 + ... + 1010218070.

Almost surely, 2^{10002120101120} is an apocalyptic number.

10002120101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137341109248).

10002120101120 is an abundant number, since it is smaller than the sum of its proper divisors (18272562117376).

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

10002120101120 is an equidigital number, since it uses as much as digits as its factorization.

10002120101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13597 (or 13583 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002120101120 its reverse (2110102120001), we get a palindrome (12112222221121).

The spelling of 10002120101120 in words is "ten trillion, two billion, one hundred twenty million, one hundred one thousand, one hundred twenty".