10121113310022 has 144 divisors (see below), whose sum is σ = 26040029423616. Its totient is φ = 2816256456000.

The previous prime is 10121113310003. The next prime is 10121113310023. The reversal of 10121113310022 is 22001331112101.

10121113310022 is a `hidden beast` number, since 101 + 211 + 1 + 331 + 0 + 0 + 22 = 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 = 10121113309977 and 10121113310004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121113310023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5599447 + ... + 7183037.

It is an arithmetic number, because the mean of its divisors is an integer number (180833537664).

Almost surely, 2^{10121113310022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121113310022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020014711808).

10121113310022 is an abundant number, since it is smaller than the sum of its proper divisors (15918916113594).

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

10121113310022 is a wasteful number, since it uses less digits than its factorization.

10121113310022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583827 (or 1583811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10121113310022 its reverse (22001331112101), we get a palindrome (32122444422123).

The spelling of 10121113310022 in words is "ten trillion, one hundred twenty-one billion, one hundred thirteen million, three hundred ten thousand, twenty-two".