10100122221112 has 288 divisors, whose sum is σ = 26753507897760. Its totient is φ = 3542601216000.

The previous prime is 10100122221053. The next prime is 10100122221113. The reversal of 10100122221112 is 21112222100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100122221113) by changing a digit.

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, 18273612 + ... + 18818212.

It is an arithmetic number, because the mean of its divisors is an integer number (92894124645).

Almost surely, 2^{10100122221112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100122221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376753948880).

10100122221112 is an abundant number, since it is smaller than the sum of its proper divisors (16653385676648).

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

10100122221112 is a wasteful number, since it uses less digits than its factorization.

10100122221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544683 (or 544661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10100122221112 its reverse (21112222100101), we get a palindrome (31212344321213).

The spelling of 10100122221112 in words is "ten trillion, one hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".