10120010120000 has 560 divisors, whose sum is σ = 28851628823424. Its totient is φ = 3484800000000.

The previous prime is 10120010119991. The next prime is 10120010120009. The reversal of 10120010120000 is 2101002101.

It is an interprime number because it is at equal distance from previous prime (10120010119991) and next prime (10120010120009).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10120010120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120010120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1022115050 + ... + 1022124950.

Almost surely, 2^{10120010120000} is an apocalyptic number.

10120010120000 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 10120010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425814411712).

10120010120000 is an abundant number, since it is smaller than the sum of its proper divisors (18731618703424).

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

10120010120000 is a wasteful number, since it uses less digits than its factorization.

10120010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120010120000 its reverse (2101002101), we get a palindrome (10122111122101).

It can be divided in two parts, 101200 and 10120000, that multiplied together give a square (1024144000000 = 1012000²).

The spelling of 10120010120000 in words is "ten trillion, one hundred twenty billion, ten million, one hundred twenty thousand".