1002222233100 has 864 divisors, whose sum is σ = 3706322780160. Its totient is φ = 224081088000.

The previous prime is 1002222233081. The next prime is 1002222233101. The reversal of 1002222233100 is 13322222001.

It is a super-2 number, since 2×1002222233100² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1002222233101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 759834241 + ... + 759835559.

It is an arithmetic number, because the mean of its divisors is an integer number (4289725440).

Almost surely, 2^{1002222233100} is an apocalyptic number.

1002222233100 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 1002222233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853161390080).

1002222233100 is an abundant number, since it is smaller than the sum of its proper divisors (2704100547060).

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

1002222233100 is a wasteful number, since it uses less digits than its factorization.

1002222233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1002222233100 its reverse (13322222001), we get a palindrome (1015544455101).

The spelling of 1002222233100 in words is "one trillion, two billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred".