102221202111101 has 16 divisors (see below), whose sum is σ = 107878446276480. Its totient is φ = 96665320688640.

The previous prime is 102221202111089. The next prime is 102221202111143. The reversal of 102221202111101 is 101111202122201.

It is a cyclic number.

It is not a de Polignac number, because 102221202111101 - 2⁶ = 102221202111037 is a prime.

It is a super-2 number, since 2×102221202111101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102221202111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221202111001) 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, 12080621 + ... + 18718541.

It is an arithmetic number, because the mean of its divisors is an integer number (6742402892280).

Almost surely, 2^{102221202111101} is an apocalyptic number.

It is an amenable number.

102221202111101 is a deficient number, since it is larger than the sum of its proper divisors (5657244165379).

102221202111101 is an equidigital number, since it uses as much as digits as its factorization.

102221202111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645556.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102221202111101 its reverse (101111202122201), we get a palindrome (203332404233302).

The spelling of 102221202111101 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred two million, one hundred eleven thousand, one hundred one".