10111101112 has 64 divisors (see below), whose sum is σ = 22587402240. Its totient is φ = 4151952000.

The previous prime is 10111101089. The next prime is 10111101131. The reversal of 10111101112 is 21110111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146503 + ... + 204169.

It is an arithmetic number, because the mean of its divisors is an integer number (352928160).

Almost surely, 2^10111101112 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 10111101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293701120).

10111101112 is an abundant number, since it is smaller than the sum of its proper divisors (12476301128).

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

10111101112 is a wasteful number, since it uses less digits than its factorization.

10111101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57812 (or 57808 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111101112 its reverse (21110111101), we get a palindrome (31221212213).

The spelling of 10111101112 in words is "ten billion, one hundred eleven million, one hundred one thousand, one hundred twelve".