10000120101012 has 30 divisors (see below), whose sum is σ = 26142289277258. Its totient is φ = 3333373366896.

The previous prime is 10000120101007. The next prime is 10000120101047. The reversal of 10000120101012 is 21010102100001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5736580653456 + 4263539447556 = 2395116^2 + 2064834^2 .

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 = 10000120100985 and 10000120101003.

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 9 ways as a sum of consecutive naturals, for example, 15432283783 + ... + 15432284430.

Almost surely, 2^{10000120101012} is an apocalyptic number.

10000120101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000120101012 is an abundant number, since it is smaller than the sum of its proper divisors (16142169176246).

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

10000120101012 is a wasteful number, since it uses less digits than its factorization.

10000120101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30864568229 (or 30864568218 counting only the distinct ones).

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

Adding to 10000120101012 its reverse (21010102100001), we get a palindrome (31010222201013).

The spelling of 10000120101012 in words is "ten trillion, one hundred twenty million, one hundred one thousand, twelve".