101200012110120 has 512 divisors, whose sum is σ = 381497079398400. Its totient is φ = 20863072281600.

The previous prime is 101200012110019. The next prime is 101200012110149. The reversal of 101200012110120 is 21011210002101.

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 = 101200012110096 and 101200012110105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1940641887 + ... + 1940694033.

It is an arithmetic number, because the mean of its divisors is an integer number (745111483200).

Almost surely, 2^{101200012110120} is an apocalyptic number.

101200012110120 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 101200012110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190748539699200).

101200012110120 is an abundant number, since it is smaller than the sum of its proper divisors (280297067288280).

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

101200012110120 is a wasteful number, since it uses less digits than its factorization.

101200012110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53829 (or 53825 counting only the distinct ones).

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

Adding to 101200012110120 its reverse (21011210002101), we get a palindrome (122211222112221).

The spelling of 101200012110120 in words is "one hundred one trillion, two hundred billion, twelve million, one hundred ten thousand, one hundred twenty".