112122001022010 has 384 divisors, whose sum is σ = 322979031023616. Its totient is φ = 24824722406400.

The previous prime is 112122001021981. The next prime is 112122001022027. The reversal of 112122001022010 is 10220100221211.

112122001022010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112122001022010² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8508910542 + ... + 8508923718.

It is an arithmetic number, because the mean of its divisors is an integer number (841091226624).

Almost surely, 2^{112122001022010} is an apocalyptic number.

112122001022010 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 112122001022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161489515511808).

112122001022010 is an abundant number, since it is smaller than the sum of its proper divisors (210857030001606).

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

112122001022010 is a wasteful number, since it uses less digits than its factorization.

112122001022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14506 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112122001022010 its reverse (10220100221211), we get a palindrome (122342101243221).

The spelling of 112122001022010 in words is "one hundred twelve trillion, one hundred twenty-two billion, one million, twenty-two thousand, ten".