100222001010100 has 72 divisors (see below), whose sum is σ = 217723056004440. Its totient is φ = 40044337643520.

The previous prime is 100222001010067. The next prime is 100222001010121. The reversal of 100222001010100 is 1010100222001.

It can be written as a sum of positive squares in 12 ways, for example, as 88799939850384 + 11422061159716 = 9423372^2 + 3379654^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 429362622 + ... + 429595978.

It is an arithmetic number, because the mean of its divisors is an integer number (3023931333395).

Almost surely, 2^{100222001010100} is an apocalyptic number.

100222001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222001010100 is an abundant number, since it is smaller than the sum of its proper divisors (117501054994340).

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

100222001010100 is a wasteful number, since it uses less digits than its factorization.

100222001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238117 (or 238110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100222001010100 its reverse (1010100222001), we get a palindrome (101232101232101).

The spelling of 100222001010100 in words is "one hundred trillion, two hundred twenty-two billion, one million, ten thousand, one hundred".