10102201122 has 48 divisors (see below), whose sum is σ = 22012721568. Its totient is φ = 3089249280.

The previous prime is 10102201117. The next prime is 10102201163. The reversal of 10102201122 is 22110220101.

It is a junction number, because it is equal to n+sod(n) for n = 10102201098 and 10102201107.

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, 134722 + ... + 195842.

It is an arithmetic number, because the mean of its divisors is an integer number (458598366).

Almost surely, 2^10102201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006360784).

10102201122 is an abundant number, since it is smaller than the sum of its proper divisors (11910520446).

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

10102201122 is a wasteful number, since it uses less digits than its factorization.

10102201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61315 (or 61302 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102201122 its reverse (22110220101), we get a palindrome (32212421223).

The spelling of 10102201122 in words is "ten billion, one hundred two million, two hundred one thousand, one hundred twenty-two".