112100111010 has 192 divisors, whose sum is σ = 312967100160. Its totient is φ = 27766126080.

The previous prime is 112100110961. The next prime is 112100111083. The reversal of 112100111010 is 10111001211.

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 = 112100110983 and 112100111001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50471700 + ... + 50473920.

It is an arithmetic number, because the mean of its divisors is an integer number (1630036980).

Almost surely, 2^112100111010 is an apocalyptic number.

112100111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156483550080).

112100111010 is an abundant number, since it is smaller than the sum of its proper divisors (200866989150).

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

112100111010 is a wasteful number, since it uses less digits than its factorization.

112100111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2950 counting only the distinct ones).

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

Adding to 112100111010 its reverse (10111001211), we get a palindrome (122211112221).

The spelling of 112100111010 in words is "one hundred twelve billion, one hundred million, one hundred eleven thousand, ten".