102122022111221 has 6 divisors (see below), whose sum is σ = 118795005313110. Its totient is φ = 87533161809576.

The previous prime is 102122022111191. The next prime is 102122022111257. The reversal of 102122022111221 is 122111220221201.

It can be written as a sum of positive squares in only one way, i.e., 101355784488721 + 766237622500 = 10067561^2 + 875350^2 .

It is not a de Polignac number, because 102122022111221 - 2⁶ = 102122022111157 is a prime.

It is a super-3 number, since 3×102122022111221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102122022111193 and 102122022111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122022111121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1042061450066 + ... + 1042061450163.

It is an arithmetic number, because the mean of its divisors is an integer number (19799167552185).

Almost surely, 2^{102122022111221} is an apocalyptic number.

It is an amenable number.

102122022111221 is a deficient number, since it is larger than the sum of its proper divisors (16672983201889).

102122022111221 is an equidigital number, since it uses as much as digits as its factorization.

102122022111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084122900243 (or 2084122900236 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102122022111221 its reverse (122111220221201), we get a palindrome (224233242332422).

The spelling of 102122022111221 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-two million, one hundred eleven thousand, two hundred twenty-one".