100100121100100 has 54 divisors (see below), whose sum is σ = 238759470695802. Its totient is φ = 36400044032000.

The previous prime is 100100121100087. The next prime is 100100121100139. The reversal of 100100121100100 is 1001121001001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2345651528704 + 97754469571396 = 1531552^2 + 9887086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4136356541 + ... + 4136380740.

Almost surely, 2^{100100121100100} is an apocalyptic number.

100100121100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100121100100 is an abundant number, since it is smaller than the sum of its proper divisors (138659349595702).

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

100100121100100 is a wasteful number, since it uses less digits than its factorization.

100100121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272737317 (or 8272737299 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100121100100 its reverse (1001121001001), we get a palindrome (101101242101101).

Subtracting from 100100121100100 its reverse (1001121001001), we obtain a palindrome (99099000099099).

The spelling of 100100121100100 in words is "one hundred trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, one hundred".