10021112121107 has 16 divisors (see below), whose sum is σ = 10375730164800. Its totient is φ = 9667100298240.

The previous prime is 10021112121073. The next prime is 10021112121109. The reversal of 10021112121107 is 70112121112001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10021112121107 - 2⁶ = 10021112121043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021112121109) 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 15 ways as a sum of consecutive naturals, for example, 395032538 + ... + 395057904.

It is an arithmetic number, because the mean of its divisors is an integer number (648483135300).

Almost surely, 2^{10021112121107} is an apocalyptic number.

10021112121107 is a deficient number, since it is larger than the sum of its proper divisors (354618043693).

10021112121107 is a wasteful number, since it uses less digits than its factorization.

10021112121107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36766.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 10021112121107 its reverse (70112121112001), we get a palindrome (80133233233108).

The spelling of 10021112121107 in words is "ten trillion, twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred seven".