100022012120100 has 72 divisors (see below), whose sum is σ = 330739453417408. Its totient is φ = 22862174198400.

The previous prime is 100022012120057. The next prime is 100022012120119. The reversal of 100022012120100 is 1021210220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23814762691 + ... + 23814766890.

Almost surely, 2^{100022012120100} is an apocalyptic number.

100022012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022012120100 is an abundant number, since it is smaller than the sum of its proper divisors (230717441297308).

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

100022012120100 is a wasteful number, since it uses less digits than its factorization.

100022012120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47629529605 (or 47629529598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022012120100 its reverse (1021210220001), we get a palindrome (101043222340101).

The spelling of 100022012120100 in words is "one hundred trillion, twenty-two billion, twelve million, one hundred twenty thousand, one hundred".