10102112012121 has 16 divisors (see below), whose sum is σ = 13530116866560. Its totient is φ = 6704425290240.

The previous prime is 10102112012063. The next prime is 10102112012123. The reversal of 10102112012121 is 12121021120101.

It is a happy number.

It is not a de Polignac number, because 10102112012121 - 2²² = 10102107817817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102112012121.

It is not an unprimeable number, because it can be changed into a prime (10102112012123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58537641 + ... + 58709961.

It is an arithmetic number, because the mean of its divisors is an integer number (845632304160).

Almost surely, 2^{10102112012121} is an apocalyptic number.

It is an amenable number.

10102112012121 is a deficient number, since it is larger than the sum of its proper divisors (3428004854439).

10102112012121 is a wasteful number, since it uses less digits than its factorization.

10102112012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260176.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10102112012121 its reverse (12121021120101), we get a palindrome (22223133132222).

The spelling of 10102112012121 in words is "ten trillion, one hundred two billion, one hundred twelve million, twelve thousand, one hundred twenty-one".