10022001101112 has 512 divisors, whose sum is σ = 35678686740480. Its totient is φ = 2257750056960.

The previous prime is 10022001101089. The next prime is 10022001101149. The reversal of 10022001101112 is 21110110022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247883443 + ... + 247923869.

It is an arithmetic number, because the mean of its divisors is an integer number (69684935040).

Almost surely, 2^{10022001101112} is an apocalyptic number.

10022001101112 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 10022001101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17839343370240).

10022001101112 is an abundant number, since it is smaller than the sum of its proper divisors (25656685639368).

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

10022001101112 is a wasteful number, since it uses less digits than its factorization.

10022001101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41091 (or 41087 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10022001101112 its reverse (21110110022001), we get a palindrome (31132111123113).

The spelling of 10022001101112 in words is "ten trillion, twenty-two billion, one million, one hundred one thousand, one hundred twelve".