10202122100000 has 144 divisors (see below), whose sum is σ = 25111770696936. Its totient is φ = 4079777280000.

The previous prime is 10202122099969. The next prime is 10202122100057. The reversal of 10202122100000 is 122120201.

It is a happy number.

10202122100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4494552641296 + 5707569458704 = 2120036^2 + 2389052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459688904 + ... + 459711096.

Almost surely, 2^{10202122100000} is an apocalyptic number.

10202122100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555885348468).

10202122100000 is an abundant number, since it is smaller than the sum of its proper divisors (14909648596936).

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

10202122100000 is an frugal number, since it uses more digits than its factorization.

10202122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26825 (or 26797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202122100000 its reverse (122120201), we get a palindrome (10202244220201).

The spelling of 10202122100000 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred thousand".