102211222100 has 144 divisors (see below), whose sum is σ = 247474993920. Its totient is φ = 36382348800.

The previous prime is 102211222097. The next prime is 102211222103. The reversal of 102211222100 is 1222112201.

It is an interprime number because it is at equal distance from previous prime (102211222097) and next prime (102211222103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211222103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30573029 + ... + 30576371.

Almost surely, 2^102211222100 is an apocalyptic number.

102211222100 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 102211222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123737496960).

102211222100 is an abundant number, since it is smaller than the sum of its proper divisors (145263771820).

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

102211222100 is a wasteful number, since it uses less digits than its factorization.

102211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102211222100 its reverse (1222112201), we get a palindrome (103433334301).

It can be divided in two parts, 10221 and 1222100, that added together give a palindrome (1232321).

The spelling of 102211222100 in words is "one hundred two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".