10220012000000 has 504 divisors, whose sum is σ = 27938567381760. Its totient is φ = 3700288000000.

The previous prime is 10220011999957. The next prime is 10220012000039. The reversal of 10220012000000 is 21002201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 15795999677 + ... + 15796000323.

It is an arithmetic number, because the mean of its divisors is an integer number (55433665440).

Almost surely, 2^{10220012000000} is an apocalyptic number.

10220012000000 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 10220012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13969283690880).

10220012000000 is an abundant number, since it is smaller than the sum of its proper divisors (17718555381760).

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

10220012000000 is an frugal number, since it uses more digits than its factorization.

10220012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1024 counting only the distinct ones).

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

Adding to 10220012000000 its reverse (21002201), we get a palindrome (10220033002201).

The spelling of 10220012000000 in words is "ten trillion, two hundred twenty billion, twelve million", and thus it is an aban number.