102112220212221 has 32 divisors (see below), whose sum is σ = 141209477369856. Its totient is φ = 65566162800000.

The previous prime is 102112220212213. The next prime is 102112220212253. The reversal of 102112220212221 is 122212022211201.

It is not a de Polignac number, because 102112220212221 - 2³ = 102112220212213 is a prime.

It is a super-2 number, since 2×102112220212221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112220212291) 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, 28835841 + ... + 32182761.

It is an arithmetic number, because the mean of its divisors is an integer number (4412796167808).

Almost surely, 2^{102112220212221} is an apocalyptic number.

It is an amenable number.

102112220212221 is a deficient number, since it is larger than the sum of its proper divisors (39097257157635).

102112220212221 is a wasteful number, since it uses less digits than its factorization.

102112220212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348513.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102112220212221 its reverse (122212022211201), we get a palindrome (224324242423422).

The spelling of 102112220212221 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty million, two hundred twelve thousand, two hundred twenty-one".