102112210002222 has 128 divisors (see below), whose sum is σ = 274665590599680. Its totient is φ = 27450932037120.

The previous prime is 102112210002221. The next prime is 102112210002233. The reversal of 102112210002222 is 222200012211201.

It is a happy number.

102112210002222 is a `hidden beast` number, since 10 + 211 + 221 + 0 + 0 + 0 + 2 + 222 = 666.

It is a super-2 number, since 2×102112210002222² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102112210002195 and 102112210002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112210002221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20341147 + ... + 24859337.

It is an arithmetic number, because the mean of its divisors is an integer number (2145824926560).

Almost surely, 2^{102112210002222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112210002222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137332795299840).

102112210002222 is an abundant number, since it is smaller than the sum of its proper divisors (172553380597458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102112210002222 is a wasteful number, since it uses less digits than its factorization.

102112210002222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521743 (or 4521737 counting only the distinct ones).

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

Adding to 102112210002222 its reverse (222200012211201), we get a palindrome (324312222213423).

The spelling of 102112210002222 in words is "one hundred two trillion, one hundred twelve billion, two hundred ten million, two thousand, two hundred twenty-two".