10102112101221 has 32 divisors (see below), whose sum is σ = 15631897003008. Its totient is φ = 5683586590080.

The previous prime is 10102112101139. The next prime is 10102112101231. The reversal of 10102112101221 is 12210121120101.

It is a happy number.

It is not a de Polignac number, because 10102112101221 - 2¹⁵ = 10102112068453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102112101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102112101231) 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, 4895031 + ... + 6645716.

It is an arithmetic number, because the mean of its divisors is an integer number (488496781344).

Almost surely, 2^{10102112101221} is an apocalyptic number.

It is an amenable number.

10102112101221 is a deficient number, since it is larger than the sum of its proper divisors (5529784901787).

10102112101221 is a wasteful number, since it uses less digits than its factorization.

10102112101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541401.

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

Adding to 10102112101221 its reverse (12210121120101), we get a palindrome (22312233221322).

The spelling of 10102112101221 in words is "ten trillion, one hundred two billion, one hundred twelve million, one hundred one thousand, two hundred twenty-one".