10102001121221 has 16 divisors (see below), whose sum is σ = 10549833465600. Its totient is φ = 9660862588608.

The previous prime is 10102001121197. The next prime is 10102001121239. The reversal of 10102001121221 is 12212110020101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102001121221 is a prime.

It is a super-2 number, since 2×10102001121221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102001121196 and 10102001121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001121281) 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, 8706326 + ... + 9798168.

It is an arithmetic number, because the mean of its divisors is an integer number (659364591600).

Almost surely, 2^{10102001121221} is an apocalyptic number.

It is an amenable number.

10102001121221 is a deficient number, since it is larger than the sum of its proper divisors (447832344379).

10102001121221 is a wasteful number, since it uses less digits than its factorization.

10102001121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094908.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102001121221 its reverse (12212110020101), we get a palindrome (22314111141322).

The spelling of 10102001121221 in words is "ten trillion, one hundred two billion, one million, one hundred twenty-one thousand, two hundred twenty-one".