100100222100000 has 432 divisors, whose sum is σ = 356859109695816. Its totient is φ = 26614103040000.

The previous prime is 100100222099953. The next prime is 100100222100083. The reversal of 100100222100000 is 1222001001.

It can be written as a sum of positive squares in 12 ways, for example, as 60272056466064 + 39828165633936 = 7763508^2 + 6310956^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303134982 + ... + 303465018.

Almost surely, 2^{100100222100000} is an apocalyptic number.

100100222100000 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 100100222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178429554847908).

100100222100000 is an abundant number, since it is smaller than the sum of its proper divisors (256758887595816).

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

100100222100000 is an equidigital number, since it uses as much as digits as its factorization.

100100222100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330415 (or 330384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100100222100000 its reverse (1222001001), we get a palindrome (100101444101001).

The spelling of 100100222100000 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, one hundred thousand".