10202122112 has 128 divisors (see below), whose sum is σ = 25091673600. Its totient is φ = 4023613440.

The previous prime is 10202122111. The next prime is 10202122129. The reversal of 10202122112 is 21122120201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4413437 + ... + 4415747.

It is an arithmetic number, because the mean of its divisors is an integer number (196028700).

Almost surely, 2^10202122112 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 10202122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545836800).

10202122112 is an abundant number, since it is smaller than the sum of its proper divisors (14889551488).

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

10202122112 is a wasteful number, since it uses less digits than its factorization.

10202122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202122112 its reverse (21122120201), we get a palindrome (31324242313).

The spelling of 10202122112 in words is "ten billion, two hundred two million, one hundred twenty-two thousand, one hundred twelve".