102021220221101 has 16 divisors (see below), whose sum is σ = 104329368901296. Its totient is φ = 99727451306496.

The previous prime is 102021220221043. The next prime is 102021220221103. The reversal of 102021220221101 is 101122022120201.

It can be written as a sum of positive squares in 8 ways, for example, as 11872841598601 + 90148378622500 = 3445699^2 + 9494650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102021220221101 is a prime.

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 102021220221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021220221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56143691 + ... + 57932343.

It is an arithmetic number, because the mean of its divisors is an integer number (6520585556331).

Almost surely, 2^{102021220221101} is an apocalyptic number.

It is an amenable number.

102021220221101 is a deficient number, since it is larger than the sum of its proper divisors (2308148680195).

102021220221101 is a wasteful number, since it uses less digits than its factorization.

102021220221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792672.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102021220221101 its reverse (101122022120201), we get a palindrome (203143242341302).

The spelling of 102021220221101 in words is "one hundred two trillion, twenty-one billion, two hundred twenty million, two hundred twenty-one thousand, one hundred one".