112101110222010 has 256 divisors, whose sum is σ = 341151778888704. Its totient is φ = 22940254052352.

The previous prime is 112101110221993. The next prime is 112101110222011. The reversal of 112101110222010 is 10222011101211.

It is a happy number.

It is a super-2 number, since 2×112101110222010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112101110222011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30269694 + ... + 33770646.

It is an arithmetic number, because the mean of its divisors is an integer number (1332624136284).

Almost surely, 2^{112101110222010} is an apocalyptic number.

112101110222010 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 112101110222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170575889444352).

112101110222010 is an abundant number, since it is smaller than the sum of its proper divisors (229050668666694).

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

112101110222010 is a wasteful number, since it uses less digits than its factorization.

112101110222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501337.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112101110222010 its reverse (10222011101211), we get a palindrome (122323121323221).

The spelling of 112101110222010 in words is "one hundred twelve trillion, one hundred one billion, one hundred ten million, two hundred twenty-two thousand, ten".