10122211103202 has 128 divisors (see below), whose sum is σ = 25269303121920. Its totient is φ = 2976919283520.

The previous prime is 10122211103201. The next prime is 10122211103243. The reversal of 10122211103202 is 20230111222101.

10122211103202 is a `hidden beast` number, since 1 + 0 + 12 + 221 + 110 + 320 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10122211103201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2748003 + ... + 5272185.

It is an arithmetic number, because the mean of its divisors is an integer number (197416430640).

Almost surely, 2^{10122211103202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122211103202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634651560960).

10122211103202 is an abundant number, since it is smaller than the sum of its proper divisors (15147092018718).

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

10122211103202 is a wasteful number, since it uses less digits than its factorization.

10122211103202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524405 (or 2524399 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10122211103202 its reverse (20230111222101), we get a palindrome (30352322325303).

The spelling of 10122211103202 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, one hundred three thousand, two hundred two".