102222210100 has 72 divisors (see below), whose sum is σ = 227524027808. Its totient is φ = 39842409600.

The previous prime is 102222210053. The next prime is 102222210121. The reversal of 102222210100 is 1012222201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1782067 + ... + 1838533.

Almost surely, 2^102222210100 is an apocalyptic number.

102222210100 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 102222210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762013904).

102222210100 is an abundant number, since it is smaller than the sum of its proper divisors (125301817708).

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

102222210100 is a wasteful number, since it uses less digits than its factorization.

102222210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56945 (or 56938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102222210100 its reverse (1012222201), we get a palindrome (103234432301).

The spelling of 102222210100 in words is "one hundred two billion, two hundred twenty-two million, two hundred ten thousand, one hundred".