10120000010112 has 48 divisors (see below), whose sum is σ = 29121354199080. Its totient is φ = 3373333336320.

The previous prime is 10120000010093. The next prime is 10120000010137. The reversal of 10120000010112 is 21101000002101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10120000010094 and 10120000010103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4392359964 + ... + 4392362267.

Almost surely, 2^{10120000010112} is an apocalyptic number.

10120000010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120000010112 is an abundant number, since it is smaller than the sum of its proper divisors (19001354188968).

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

10120000010112 is an equidigital number, since it uses as much as digits as its factorization.

10120000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784722251 (or 8784722236 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120000010112 its reverse (21101000002101), we get a palindrome (31221000012213).

The spelling of 10120000010112 in words is "ten trillion, one hundred twenty billion, ten thousand, one hundred twelve".