2210000100012 has 120 divisors (see below), whose sum is σ = 5874478216992. Its totient is φ = 724341139200.

The previous prime is 2210000099969. The next prime is 2210000100013. The reversal of 2210000100012 is 2100010000122.

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 = 2210000099967 and 2210000100003.

It is not an unprimeable number, because it can be changed into a prime (2210000100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8451712 + ... + 8709272.

Almost surely, 2^{2210000100012} 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 2210000100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937239108496).

2210000100012 is an abundant number, since it is smaller than the sum of its proper divisors (3664478116980).

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

2210000100012 is a wasteful number, since it uses less digits than its factorization.

2210000100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258021 (or 258010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2210000100012 its reverse (2100010000122), we get a palindrome (4310010100134).

The spelling of 2210000100012 in words is "two trillion, two hundred ten billion, one hundred thousand, twelve".