10221202002000 has 320 divisors, whose sum is σ = 35959328241408. Its totient is φ = 2477148160000.

The previous prime is 10221202001917. The next prime is 10221202002019. The reversal of 10221202002000 is 20020212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 248205412 + ... + 248246588.

Almost surely, 2^{10221202002000} is an apocalyptic number.

10221202002000 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 10221202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979664120704).

10221202002000 is an abundant number, since it is smaller than the sum of its proper divisors (25738126239408).

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

10221202002000 is a wasteful number, since it uses less digits than its factorization.

10221202002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44975 (or 44959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10221202002000 its reverse (20020212201), we get a palindrome (10241222214201).

The spelling of 10221202002000 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, two thousand".