100101110100100 has 72 divisors (see below), whose sum is σ = 217416083299520. Its totient is φ = 40004202775680.

The previous prime is 100101110100083. The next prime is 100101110100143. The reversal of 100101110100100 is 1001011101001.

It is a happy 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, 691410319 + ... + 691555081.

Almost surely, 2^{100101110100100} is an apocalyptic number.

100101110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101110100100 is an abundant number, since it is smaller than the sum of its proper divisors (117314973199420).

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

100101110100100 is a wasteful number, since it uses less digits than its factorization.

100101110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150989 (or 150982 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101110100100 its reverse (1001011101001), we get a palindrome (101102121201101).

100101110100100 divided by its reverse (1001011101001) gives a square (100 = 10²).

The spelling of 100101110100100 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred thousand, one hundred".