102001222220121 has 72 divisors (see below), whose sum is σ = 176195757356424. Its totient is φ = 56655111744000.

The previous prime is 102001222220111. The next prime is 102001222220143. The reversal of 102001222220121 is 121022222100201.

It is a happy number.

102001222220121 is a `hidden beast` number, since 1 + 0 + 200 + 1 + 222 + 220 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11751602219721 + 90249620000400 = 3428061^2 + 9499980^2 .

It is not a de Polignac number, because 102001222220121 - 2¹¹ = 102001222218073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102001222220094 and 102001222220103.

It is not an unprimeable number, because it can be changed into a prime (102001222220111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13443621 + ... + 19614621.

It is an arithmetic number, because the mean of its divisors is an integer number (2447163296617).

Almost surely, 2^{102001222220121} is an apocalyptic number.

It is an amenable number.

102001222220121 is a deficient number, since it is larger than the sum of its proper divisors (74194535136303).

102001222220121 is a wasteful number, since it uses less digits than its factorization.

102001222220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172071 (or 6172061 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102001222220121 its reverse (121022222100201), we get a palindrome (223023444320322).

The spelling of 102001222220121 in words is "one hundred two trillion, one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty-one".