1022113322100 has 432 divisors, whose sum is σ = 3512625427584. Its totient is φ = 247059072000.

The previous prime is 1022113322099. The next prime is 1022113322117. The reversal of 1022113322100 is 12233112201.

1022113322100 is a `hidden beast` number, since 10 + 221 + 1 + 332 + 2 + 100 = 666.

It is a super-3 number, since 3×1022113322100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 835742089 + ... + 835743311.

Almost surely, 2^{1022113322100} is an apocalyptic number.

1022113322100 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 1022113322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756312713792).

1022113322100 is an abundant number, since it is smaller than the sum of its proper divisors (2490512105484).

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

1022113322100 is a wasteful number, since it uses less digits than its factorization.

1022113322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022113322100 its reverse (12233112201), we get a palindrome (1034346434301).

The spelling of 1022113322100 in words is "one trillion, twenty-two billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred".