10221121022000 has 320 divisors, whose sum is σ = 29813232783360. Its totient is φ = 3310865280000.

The previous prime is 10221121021973. The next prime is 10221121022017. The reversal of 10221121022000 is 22012112201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97569650 + ... + 97674350.

It is an arithmetic number, because the mean of its divisors is an integer number (93166352448).

Almost surely, 2^{10221121022000} is an apocalyptic number.

10221121022000 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 10221121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906616391680).

10221121022000 is an abundant number, since it is smaller than the sum of its proper divisors (19592111761360).

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

10221121022000 is a wasteful number, since it uses less digits than its factorization.

10221121022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105117 (or 105101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221121022000 its reverse (22012112201), we get a palindrome (10243133134201).

The spelling of 10221121022000 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty-two thousand".