100111111010100 has 162 divisors, whose sum is σ = 325845112985574. Its totient is φ = 26696296094400.

The previous prime is 100111111010089. The next prime is 100111111010117. The reversal of 100111111010100 is 1010111111001.

It can be written as a sum of positive squares in 3 ways, for example, as 5371139975184 + 94739971034916 = 2317572^2 + 9733446^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 75636471 + ... + 76948670.

Almost surely, 2^{100111111010100} is an apocalyptic number.

100111111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111111010100 is an abundant number, since it is smaller than the sum of its proper divisors (225734001975474).

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

100111111010100 is an equidigital number, since it uses as much as digits as its factorization.

100111111010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152585179 (or 152585151 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111111010100 its reverse (1010111111001), we get a palindrome (101121222121101).

The spelling of 100111111010100 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred".