10221011200000 has 144 divisors (see below), whose sum is σ = 25544670622380. Its totient is φ = 4088401920000.

The previous prime is 10221011199989. The next prime is 10221011200009. The reversal of 10221011200000 is 211012201.

It can be written as a sum of positive squares in 6 ways, for example, as 208900187136 + 10012111012864 = 457056^2 + 3164192^2 .

It is a super-3 number, since 3×10221011200000³ (a number of 40 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10221011200000.

It is not an unprimeable number, because it can be changed into a prime (10221011200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5601484 + ... + 7198516.

Almost surely, 2^{10221011200000} is an apocalyptic number.

10221011200000 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 10221011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772335311190).

10221011200000 is an abundant number, since it is smaller than the sum of its proper divisors (15323659422380).

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

10221011200000 is an frugal number, since it uses more digits than its factorization.

10221011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597080 (or 1597040 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221011200000 its reverse (211012201), we get a palindrome (10221222212201).

The spelling of 10221011200000 in words is "ten trillion, two hundred twenty-one billion, eleven million, two hundred thousand".