100110101112 has 96 divisors (see below), whose sum is σ = 316188444000. Its totient is φ = 28602878976.

The previous prime is 100110101111. The next prime is 100110101153. The reversal of 100110101112 is 211101011001.

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 = 100110101094 and 100110101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2002153 + ... + 2051544.

It is an arithmetic number, because the mean of its divisors is an integer number (3293629625).

Almost surely, 2^100110101112 is an apocalyptic number.

100110101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110101112 is an abundant number, since it is smaller than the sum of its proper divisors (216078342888).

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

100110101112 is a wasteful number, since it uses less digits than its factorization.

100110101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053730 (or 4053709 counting only the distinct ones).

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

Adding to 100110101112 its reverse (211101011001), we get a palindrome (311211112113).

The spelling of 100110101112 in words is "one hundred billion, one hundred ten million, one hundred one thousand, one hundred twelve".