22101100100010 has 192 divisors, whose sum is σ = 59223988841472. Its totient is φ = 5714151049728.

The previous prime is 22101100099979. The next prime is 22101100100017. The reversal of 22101100100010 is 1000100110122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22101100099965 and 22101100100001.

It is not an unprimeable number, because it can be changed into a prime (22101100100017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1405288767 + ... + 1405304493.

It is an arithmetic number, because the mean of its divisors is an integer number (308458275216).

Almost surely, 2^{22101100100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101100100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611994420736).

22101100100010 is an abundant number, since it is smaller than the sum of its proper divisors (37122888741462).

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

22101100100010 is a wasteful number, since it uses less digits than its factorization.

22101100100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17237 (or 17234 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 22101100100010 its reverse (1000100110122), we get a palindrome (23101200210132).

The spelling of 22101100100010 in words is "twenty-two trillion, one hundred one billion, one hundred million, one hundred thousand, ten".