100011222122100 has 72 divisors (see below), whose sum is σ = 297186500075808. Its totient is φ = 25948857628800.

The previous prime is 100011222122089. The next prime is 100011222122111. The reversal of 100011222122100 is 1221222110001.

It is an interprime number because it is at equal distance from previous prime (100011222122089) and next prime (100011222122111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100011222122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504998906 + ... + 4505021105.

Almost surely, 2^{100011222122100} is an apocalyptic number.

100011222122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011222122100 is an abundant number, since it is smaller than the sum of its proper divisors (197175277953708).

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

100011222122100 is a wasteful number, since it uses less digits than its factorization.

100011222122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010020065 (or 9010020058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100011222122100 its reverse (1221222110001), we get a palindrome (101232444232101).

The spelling of 100011222122100 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".