10102112021221 has 12 divisors (see below), whose sum is σ = 11340229150656. Its totient is φ = 8988339510920.

The previous prime is 10102112021203. The next prime is 10102112021231. The reversal of 10102112021221 is 12212021120101.

It is not a de Polignac number, because 10102112021221 - 2⁷ = 10102112021093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102112021195 and 10102112021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102112021231) 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 11 ways as a sum of consecutive naturals, for example, 888170155 + ... + 888181528.

It is an arithmetic number, because the mean of its divisors is an integer number (945019095888).

Almost surely, 2^{10102112021221} is an apocalyptic number.

10102112021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102112021221 is a deficient number, since it is larger than the sum of its proper divisors (1238117129435).

10102112021221 is a wasteful number, since it uses less digits than its factorization.

10102112021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776351752 (or 1776351741 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10102112021221 its reverse (12212021120101), we get a palindrome (22314133141322).

The spelling of 10102112021221 in words is "ten trillion, one hundred two billion, one hundred twelve million, twenty-one thousand, two hundred twenty-one".