102100222110 has 128 divisors (see below), whose sum is σ = 253448870400. Its totient is φ = 26307703296.

The previous prime is 102100222099. The next prime is 102100222117. The reversal of 102100222110 is 11222001201.

It is a super-2 number, since 2×102100222110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100222117) 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 63 ways as a sum of consecutive naturals, for example, 54394492 + ... + 54396368.

It is an arithmetic number, because the mean of its divisors is an integer number (1980069300).

Almost surely, 2^102100222110 is an apocalyptic number.

102100222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126724435200).

102100222110 is an abundant number, since it is smaller than the sum of its proper divisors (151348648290).

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

102100222110 is a wasteful number, since it uses less digits than its factorization.

102100222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362.

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

Adding to 102100222110 its reverse (11222001201), we get a palindrome (113322223311).

The spelling of 102100222110 in words is "one hundred two billion, one hundred million, two hundred twenty-two thousand, one hundred ten".