102102222100 has 72 divisors (see below), whose sum is σ = 227072575800. Its totient is φ = 39826022400.

The previous prime is 102102222067. The next prime is 102102222109. The reversal of 102102222100 is 1222201201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 76554035856 + 25548186244 = 276684^2 + 159838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102222109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11430436 + ... + 11439364.

It is an arithmetic number, because the mean of its divisors is an integer number (3153785775).

Almost surely, 2^102102222100 is an apocalyptic number.

102102222100 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 102102222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113536287900).

102102222100 is an abundant number, since it is smaller than the sum of its proper divisors (124970353700).

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

102102222100 is a wasteful number, since it uses less digits than its factorization.

102102222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11773 (or 11766 counting only the distinct ones).

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

Adding to 102102222100 its reverse (1222201201), we get a palindrome (103324423301).

The spelling of 102102222100 in words is "one hundred two billion, one hundred two million, two hundred twenty-two thousand, one hundred".