102222110100 has 288 divisors, whose sum is σ = 345031166592. Its totient is φ = 23091200000.

The previous prime is 102222110099. The next prime is 102222110101. The reversal of 102222110100 is 1011222201.

It is an interprime number because it is at equal distance from previous prime (102222110099) and next prime (102222110101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222110101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5657080 + ... + 5675120.

It is an arithmetic number, because the mean of its divisors is an integer number (1198024884).

Almost surely, 2^102222110100 is an apocalyptic number.

102222110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172515583296).

102222110100 is an abundant number, since it is smaller than the sum of its proper divisors (242809056492).

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

102222110100 is a wasteful number, since it uses less digits than its factorization.

102222110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18187 (or 18180 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102222110100 its reverse (1011222201), we get a palindrome (103233332301).

It can be divided in two parts, 1022 and 22110100, that added together give a palindrome (22111122).

The spelling of 102222110100 in words is "one hundred two billion, two hundred twenty-two million, one hundred ten thousand, one hundred".