101110100103132 has 24 divisors (see below), whose sum is σ = 236636326937472. Its totient is φ = 33601543839600.

The previous prime is 101110100103127. The next prime is 101110100103139. The reversal of 101110100103132 is 231301001011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110100103139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12727853544 + ... + 12727861487.

It is an arithmetic number, because the mean of its divisors is an integer number (9859846955728).

Almost surely, 2^{101110100103132} is an apocalyptic number.

101110100103132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101110100103132 is an abundant number, since it is smaller than the sum of its proper divisors (135526226834340).

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

101110100103132 is a wasteful number, since it uses less digits than its factorization.

101110100103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25455715369 (or 25455715367 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101110100103132 its reverse (231301001011101), we get a palindrome (332411101114233).

The spelling of 101110100103132 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred three thousand, one hundred thirty-two".