1022112212100 has 216 divisors, whose sum is σ = 3475607859360. Its totient is φ = 231216814080.

The previous prime is 1022112212089. The next prime is 1022112212101. The reversal of 1022112212100 is 12122112201.

1022112212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022112212100.

It is not an unprimeable number, because it can be changed into a prime (1022112212101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1067491 + ... + 1784309.

Almost surely, 2^{1022112212100} is an apocalyptic number.

1022112212100 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 1022112212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737803929680).

1022112212100 is an abundant number, since it is smaller than the sum of its proper divisors (2453495647260).

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

1022112212100 is a wasteful number, since it uses less digits than its factorization.

1022112212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716947 (or 716933 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022112212100 its reverse (12122112201), we get a palindrome (1034234324301).

The spelling of 1022112212100 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred twelve thousand, one hundred".