102211000022221 has 32 divisors (see below), whose sum is σ = 114976281340800. Its totient is φ = 90292254474240.

The previous prime is 102211000022191. The next prime is 102211000022249. The reversal of 102211000022221 is 122220000112201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-102211000022221 is a prime.

It is a super-2 number, since 2×102211000022221² (a number of 29 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 = 102211000022195 and 102211000022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211000022821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23967565 + ... + 27908173.

It is an arithmetic number, because the mean of its divisors is an integer number (3593008791900).

Almost surely, 2^{102211000022221} is an apocalyptic number.

It is an amenable number.

102211000022221 is a deficient number, since it is larger than the sum of its proper divisors (12765281318579).

102211000022221 is a wasteful number, since it uses less digits than its factorization.

102211000022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941389.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102211000022221 its reverse (122220000112201), we get a palindrome (224431000134422).

The spelling of 102211000022221 in words is "one hundred two trillion, two hundred eleven billion, twenty-two thousand, two hundred twenty-one".