102212211090 has 128 divisors (see below), whose sum is σ = 273304316160. Its totient is φ = 24257024000.

The previous prime is 102212211089. The next prime is 102212211217. The reversal of 102212211090 is 90112212201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2949142 + ... + 2983598.

It is an arithmetic number, because the mean of its divisors is an integer number (2135189970).

Almost surely, 2^102212211090 is an apocalyptic number.

102212211090 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 102212211090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136652158080).

102212211090 is an abundant number, since it is smaller than the sum of its proper divisors (171092105070).

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

102212211090 is a wasteful number, since it uses less digits than its factorization.

102212211090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34668.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 102212211090 its reverse (90112212201), we get a palindrome (192324423291).

The spelling of 102212211090 in words is "one hundred two billion, two hundred twelve million, two hundred eleven thousand, ninety".