102222212100102 has 192 divisors, whose sum is σ = 242461964796480. Its totient is φ = 30998080512000.

The previous prime is 102222212100079. The next prime is 102222212100143. The reversal of 102222212100102 is 201001212222201.

It is a happy number.

102222212100102 is a `hidden beast` number, since 1 + 0 + 222 + 221 + 210 + 0 + 10 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2776174852 + ... + 2776211672.

It is an arithmetic number, because the mean of its divisors is an integer number (1262822733315).

Almost surely, 2^{102222212100102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222212100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121230982398240).

102222212100102 is an abundant number, since it is smaller than the sum of its proper divisors (140239752696378).

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

102222212100102 is a wasteful number, since it uses less digits than its factorization.

102222212100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39079 (or 39076 counting only the distinct ones).

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

Adding to 102222212100102 its reverse (201001212222201), we get a palindrome (303223424322303).

The spelling of 102222212100102 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred thousand, one hundred two".