10100111112 has 384 divisors, whose sum is σ = 35195247360. Its totient is φ = 2545551360.

The previous prime is 10100111101. The next prime is 10100111113. The reversal of 10100111112 is 21111100101.

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 = 10100111094 and 10100111103.

It is not an unprimeable number, because it can be changed into a prime (10100111113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14787523 + ... + 14788205.

It is an arithmetic number, because the mean of its divisors is an integer number (91654290).

Almost surely, 2^10100111112 is an apocalyptic number.

10100111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597623680).

10100111112 is an abundant number, since it is smaller than the sum of its proper divisors (25095136248).

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

10100111112 is a wasteful number, since it uses less digits than its factorization.

10100111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 806 counting only the distinct ones).

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

Adding to 10100111112 its reverse (21111100101), we get a palindrome (31211211213).

The spelling of 10100111112 in words is "ten billion, one hundred million, one hundred eleven thousand, one hundred twelve".