110010681086100 has 144 divisors (see below), whose sum is σ = 332150101366272. Its totient is φ = 28059554413440.

The previous prime is 110010681086099. The next prime is 110010681086101. The reversal of 110010681086100 is 1680186010011.

It is an interprime number because it is at equal distance from previous prime (110010681086099) and next prime (110010681086101).

It is a super-2 number, since 2×110010681086100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010681086101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176349339 + ... + 176972061.

Almost surely, 2^{110010681086100} is an apocalyptic number.

110010681086100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010681086100 is an abundant number, since it is smaller than the sum of its proper divisors (222139420280172).

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

110010681086100 is a wasteful number, since it uses less digits than its factorization.

110010681086100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648366 (or 648359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 110010681086100 in words is "one hundred ten trillion, ten billion, six hundred eighty-one million, eighty-six thousand, one hundred".