10010222212122 has 144 divisors (see below), whose sum is σ = 25110894538080. Its totient is φ = 2857689892800.

The previous prime is 10010222212073. The next prime is 10010222212139. The reversal of 10010222212122 is 22121222201001.

It is a happy number.

10010222212122 is a `hidden beast` number, since 100 + 10 + 222 + 212 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10010222212095 and 10010222212104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12403372 + ... + 13185752.

It is an arithmetic number, because the mean of its divisors is an integer number (174381212070).

Almost surely, 2^{10010222212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010222212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555447269040).

10010222212122 is an abundant number, since it is smaller than the sum of its proper divisors (15100672325958).

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

10010222212122 is a wasteful number, since it uses less digits than its factorization.

10010222212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782617 (or 782595 counting only the distinct ones).

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

Adding to 10010222212122 its reverse (22121222201001), we get a palindrome (32131444413123).

The spelling of 10010222212122 in words is "ten trillion, ten billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".