100122011110100 has 72 divisors (see below), whose sum is σ = 262908622146240. Its totient is φ = 32308279211520.

The previous prime is 100122011110073. The next prime is 100122011110129. The reversal of 100122011110100 is 1011110221001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4206795290 + ... + 4206819089.

It is an arithmetic number, because the mean of its divisors is an integer number (3651508640920).

Almost surely, 2^{100122011110100} is an apocalyptic number.

100122011110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122011110100 is an abundant number, since it is smaller than the sum of its proper divisors (162786611036140).

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

100122011110100 is a wasteful number, since it uses less digits than its factorization.

100122011110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413614417 (or 8413614410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100122011110100 its reverse (1011110221001), we get a palindrome (101133121331101).

The spelling of 100122011110100 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, one hundred ten thousand, one hundred".