10012012010121 has 32 divisors (see below), whose sum is σ = 14995416240000. Its totient is φ = 5889215692800.

The previous prime is 10012012010111. The next prime is 10012012010131. The reversal of 10012012010121 is 12101021021001.

It is an interprime number because it is at equal distance from previous prime (10012012010111) and next prime (10012012010131).

It is not a de Polignac number, because 10012012010121 - 2²⁹ = 10011475139209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012012010097 and 10012012010106.

It is not an unprimeable number, because it can be changed into a prime (10012012010111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18909496 + ... + 19431753.

It is an arithmetic number, because the mean of its divisors is an integer number (468606757500).

Almost surely, 2^{10012012010121} is an apocalyptic number.

10012012010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012012010121 is a deficient number, since it is larger than the sum of its proper divisors (4983404229879).

10012012010121 is a wasteful number, since it uses less digits than its factorization.

10012012010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38341497.

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

Adding to 10012012010121 its reverse (12101021021001), we get a palindrome (22113033031122).

The spelling of 10012012010121 in words is "ten trillion, twelve billion, twelve million, ten thousand, one hundred twenty-one".