10121222010112 has 72 divisors (see below), whose sum is σ = 20405427125832. Its totient is φ = 5009894400000.

The previous prime is 10121222010083. The next prime is 10121222010121. The reversal of 10121222010112 is 21101022212101.

It can be written as a sum of positive squares in 4 ways, for example, as 421336002816 + 9699886007296 = 649104^2 + 3114464^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271495218 + ... + 271532494.

It is an arithmetic number, because the mean of its divisors is an integer number (283408710081).

Almost surely, 2^{10121222010112} 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 10121222010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202713562916).

10121222010112 is an abundant number, since it is smaller than the sum of its proper divisors (10284205115720).

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

10121222010112 is a wasteful number, since it uses less digits than its factorization.

10121222010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47895 (or 47881 counting only the distinct ones).

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

Adding to 10121222010112 its reverse (21101022212101), we get a palindrome (31222244222213).

The spelling of 10121222010112 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, ten thousand, one hundred twelve".