10022022212112 has 160 divisors (see below), whose sum is σ = 29000028879360. Its totient is φ = 3313626675840.

The previous prime is 10022022212101. The next prime is 10022022212119. The reversal of 10022022212112 is 21121222022001.

It is a happy number.

10022022212112 is a `hidden beast` number, since 10 + 0 + 220 + 2 + 221 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10022022212119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124631983 + ... + 124712369.

It is an arithmetic number, because the mean of its divisors is an integer number (181250180496).

Almost surely, 2^{10022022212112} is an apocalyptic number.

10022022212112 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 10022022212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500014439680).

10022022212112 is an abundant number, since it is smaller than the sum of its proper divisors (18978006667248).

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

10022022212112 is a wasteful number, since it uses less digits than its factorization.

10022022212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82738 (or 82726 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10022022212112 its reverse (21121222022001), we get a palindrome (31143244234113).

The spelling of 10022022212112 in words is "ten trillion, twenty-two billion, twenty-two million, two hundred twelve thousand, one hundred twelve".