100111101010112 has 112 divisors (see below), whose sum is σ = 205977410134272. Its totient is φ = 48249844531200.

The previous prime is 100111101010103. The next prime is 100111101010117. The reversal of 100111101010112 is 211010101111001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100111101010093 and 100111101010102.

It is not an unprimeable number, because it can be changed into a prime (100111101010117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62850737 + ... + 64423887.

It is an arithmetic number, because the mean of its divisors is an integer number (1839084019056).

Almost surely, 2^{100111101010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111101010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102988705067136).

100111101010112 is an abundant number, since it is smaller than the sum of its proper divisors (105866309124160).

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

100111101010112 is a wasteful number, since it uses less digits than its factorization.

100111101010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573546 (or 1573536 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111101010112 its reverse (211010101111001), we get a palindrome (311121202121113).

The spelling of 100111101010112 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, ten thousand, one hundred twelve".