100210022000 has 480 divisors, whose sum is σ = 280172692800. Its totient is φ = 34594560000.

The previous prime is 100210021999. The next prime is 100210022041. The reversal of 100210022000 is 220012001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764961935 + ... + 764962065.

It is an arithmetic number, because the mean of its divisors is an integer number (583693110).

Almost surely, 2^100210022000 is an apocalyptic number.

100210022000 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 100210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140086346400).

100210022000 is an abundant number, since it is smaller than the sum of its proper divisors (179962670800).

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

100210022000 is a wasteful number, since it uses less digits than its factorization.

100210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

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

Adding to 100210022000 its reverse (220012001), we get a palindrome (100430034001).

Subtracting from 100210022000 its reverse (220012001), we obtain a palindrome (99990009999).

The spelling of 100210022000 in words is "one hundred billion, two hundred ten million, twenty-two thousand".