10120010100012 has 18 divisors (see below), whose sum is σ = 25581136641788. Its totient is φ = 3373336699992.

The previous prime is 10120010100001. The next prime is 10120010100071. The reversal of 10120010100012 is 21000101002101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

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 = 10120010099967 and 10120010100003.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140555695798 + ... + 140555695869.

Almost surely, 2^{10120010100012} is an apocalyptic number.

10120010100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120010100012 is an abundant number, since it is smaller than the sum of its proper divisors (15461126541776).

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

10120010100012 is a wasteful number, since it uses less digits than its factorization.

10120010100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281111391677 (or 281111391672 counting only the distinct ones).

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

Adding to 10120010100012 its reverse (21000101002101), we get a palindrome (31120111102113).

The spelling of 10120010100012 in words is "ten trillion, one hundred twenty billion, ten million, one hundred thousand, twelve".