10120000010120 has 768 divisors, whose sum is σ = 33835608576000. Its totient is φ = 2638422927360.

The previous prime is 10120000010093. The next prime is 10120000010137. The reversal of 10120000010120 is 2101000002101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10120000010098 and 10120000010107.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192445991 + ... + 192498569.

It is an arithmetic number, because the mean of its divisors is an integer number (44056782000).

Almost surely, 2^{10120000010120} is an apocalyptic number.

10120000010120 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 10120000010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917804288000).

10120000010120 is an abundant number, since it is smaller than the sum of its proper divisors (23715608565880).

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

10120000010120 is a wasteful number, since it uses less digits than its factorization.

10120000010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52674 (or 52659 counting only the distinct ones).

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

Adding to 10120000010120 its reverse (2101000002101), we get a palindrome (12221000012221).

It can be divided in two parts, 101200000 and 10120, that multiplied together give a square (1024144000000 = 1012000²).

The spelling of 10120000010120 in words is "ten trillion, one hundred twenty billion, ten thousand, one hundred twenty".