1002122212100 has 72 divisors (see below), whose sum is σ = 2205566600328. Its totient is φ = 395175808000.

The previous prime is 1002122212097. The next prime is 1002122212111. The reversal of 1002122212100 is 12122212001.

It can be written as a sum of positive squares in 12 ways, for example, as 119980489924 + 882141722176 = 346382^2 + 939224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2140382 + ... + 2566218.

It is an arithmetic number, because the mean of its divisors is an integer number (30632869449).

Almost surely, 2^{1002122212100} is an apocalyptic number.

1002122212100 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 1002122212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102783300164).

1002122212100 is an abundant number, since it is smaller than the sum of its proper divisors (1203444388228).

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

1002122212100 is a wasteful number, since it uses less digits than its factorization.

1002122212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426185 (or 426178 counting only the distinct ones).

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

Adding to 1002122212100 its reverse (12122212001), we get a palindrome (1014244424101).

Subtracting from 1002122212100 its reverse (12122212001), we obtain a palindrome (990000000099).

The spelling of 1002122212100 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".