100111012110 has 96 divisors (see below), whose sum is σ = 267655602240. Its totient is φ = 25942477824.

The previous prime is 100111012109. The next prime is 100111012121. The reversal of 100111012110 is 11210111001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111012092 and 100111012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2722326 + ... + 2758854.

It is an arithmetic number, because the mean of its divisors is an integer number (2788079190).

Almost surely, 2^100111012110 is an apocalyptic number.

100111012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133827801120).

100111012110 is an abundant number, since it is smaller than the sum of its proper divisors (167544590130).

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

100111012110 is a wasteful number, since it uses less digits than its factorization.

100111012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37402 (or 37399 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111012110 its reverse (11210111001), we get a palindrome (111321123111).

It can be divided in two parts, 10011 and 1012110, that added together give a square (1022121 = 1011²).

The spelling of 100111012110 in words is "one hundred billion, one hundred eleven million, twelve thousand, one hundred ten".