10010220220000 has 960 divisors, whose sum is σ = 33381305362944. Its totient is φ = 2852536320000.

The previous prime is 10010220219997. The next prime is 10010220220009. The reversal of 10010220220000 is 2202201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010220220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2142137664 + ... + 2142142336.

Almost surely, 2^{10010220220000} is an apocalyptic number.

10010220220000 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 10010220220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690652681472).

10010220220000 is an abundant number, since it is smaller than the sum of its proper divisors (23371085142944).

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

10010220220000 is a wasteful number, since it uses less digits than its factorization.

10010220220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10010220220000 its reverse (2202201001), we get a palindrome (10012422421001).

The spelling of 10010220220000 in words is "ten trillion, ten billion, two hundred twenty million, two hundred twenty thousand".