100222212222100 has 72 divisors (see below), whose sum is σ = 219744799104600. Its totient is φ = 39672712051200.

The previous prime is 100222212222073. The next prime is 100222212222127. The reversal of 100222212222100 is 1222212222001.

It is an interprime number because it is at equal distance from previous prime (100222212222073) and next prime (100222212222127).

It can be written as a sum of positive squares in 12 ways, for example, as 37213098864516 + 63009113357584 = 6100254^2 + 7937828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3349206 + ... + 14548594.

It is an arithmetic number, because the mean of its divisors is an integer number (3052011098675).

Almost surely, 2^{100222212222100} is an apocalyptic number.

100222212222100 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 100222212222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109872399552300).

100222212222100 is an abundant number, since it is smaller than the sum of its proper divisors (119522586882500).

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

100222212222100 is a wasteful number, since it uses less digits than its factorization.

100222212222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200333 (or 11200326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 100222212222100 its reverse (1222212222001), we get a palindrome (101444424444101).

Subtracting from 100222212222100 its reverse (1222212222001), we obtain a palindrome (99000000000099).

The spelling of 100222212222100 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".