10121200011012 has 24 divisors (see below), whose sum is σ = 23651969695200. Its totient is φ = 3368613860416.

The previous prime is 10121200011007. The next prime is 10121200011017. The reversal of 10121200011012 is 21011000212101.

It is an interprime number because it is at equal distance from previous prime (10121200011007) and next prime (10121200011017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10121200011017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639926337 + ... + 639942152.

It is an arithmetic number, because the mean of its divisors is an integer number (985498737300).

Almost surely, 2^{10121200011012} is an apocalyptic number.

10121200011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121200011012 is an abundant number, since it is smaller than the sum of its proper divisors (13530769684188).

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

10121200011012 is a wasteful number, since it uses less digits than its factorization.

10121200011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279869155 (or 1279869153 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121200011012 its reverse (21011000212101), we get a palindrome (31132200223113).

The spelling of 10121200011012 in words is "ten trillion, one hundred twenty-one billion, two hundred million, eleven thousand, twelve".