100222001000 has 192 divisors, whose sum is σ = 263277181440. Its totient is φ = 35666928000.

The previous prime is 100222000993. The next prime is 100222001017. The reversal of 100222001000 is 100222001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5678189 + ... + 5695811.

It is an arithmetic number, because the mean of its divisors is an integer number (1371235320).

Almost surely, 2^100222001000 is an apocalyptic number.

100222001000 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 100222001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131638590720).

100222001000 is an abundant number, since it is smaller than the sum of its proper divisors (163055180440).

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

100222001000 is a wasteful number, since it uses less digits than its factorization.

100222001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17713 (or 17688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100222001000 its reverse (100222001), we get a palindrome (100322223001).

100222001000 divided by its reverse (100222001) gives a cube (1000 = 10³).

The spelling of 100222001000 in words is "one hundred billion, two hundred twenty-two million, one thousand".