100010010110112 has 72 divisors (see below), whose sum is σ = 284474517110784. Its totient is φ = 33328341730944.

The previous prime is 100010010110071. The next prime is 100010010110113. The reversal of 100010010110112 is 211011010010001.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 100010010110094 and 100010010110103.

It is not an unprimeable number, because it can be changed into a prime (100010010110113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42221728 + ... + 44527455.

It is an arithmetic number, because the mean of its divisors is an integer number (3951034959872).

Almost surely, 2^{100010010110112} is an apocalyptic number.

100010010110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010010110112 is an abundant number, since it is smaller than the sum of its proper divisors (184464507000672).

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

100010010110112 is a wasteful number, since it uses less digits than its factorization.

100010010110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86753202 (or 86753191 counting only the distinct ones).

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

Adding to 100010010110112 its reverse (211011010010001), we get a palindrome (311021020120113).

The spelling of 100010010110112 in words is "one hundred trillion, ten billion, ten million, one hundred ten thousand, one hundred twelve".