101110101110100 has 108 divisors (see below), whose sum is σ = 316951071367840. Its totient is φ = 26960390049600.

The previous prime is 101110101110063. The next prime is 101110101110113. The reversal of 101110101110100 is 1011101011101.

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 35 ways as a sum of consecutive naturals, for example, 5753835 + ... + 15340365.

Almost surely, 2^{101110101110100} is an apocalyptic number.

101110101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110101110100 is an abundant number, since it is smaller than the sum of its proper divisors (215840970257740).

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

101110101110100 is a wasteful number, since it uses less digits than its factorization.

101110101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9598270 (or 9598260 counting only the distinct ones).

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

Adding to 101110101110100 its reverse (1011101011101), we get a palindrome (102121202121201).

101110101110100 divided by its reverse (1011101011101) gives a square (100 = 10²).

The spelling of 101110101110100 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one hundred ten thousand, one hundred".