10012111121221 has 32 divisors (see below), whose sum is σ = 11947191828480. Its totient is φ = 8283685190400.

The previous prime is 10012111121161. The next prime is 10012111121239. The reversal of 10012111121221 is 12212111121001.

It is a cyclic number.

It is not a de Polignac number, because 10012111121221 - 2²³ = 10012102732613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012111121195 and 10012111121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012111121521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6739180 + ... + 8089546.

It is an arithmetic number, because the mean of its divisors is an integer number (373349744640).

Almost surely, 2^{10012111121221} is an apocalyptic number.

10012111121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012111121221 is a deficient number, since it is larger than the sum of its proper divisors (1935080707259).

10012111121221 is a wasteful number, since it uses less digits than its factorization.

10012111121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351705.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10012111121221 its reverse (12212111121001), we get a palindrome (22224222242222).

The spelling of 10012111121221 in words is "ten trillion, twelve billion, one hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".