201220001021000 has 64 divisors (see below), whose sum is σ = 507074402605680. Its totient is φ = 74296615756800.

The previous prime is 201220001020867. The next prime is 201220001021071. The reversal of 201220001021000 is 120100022102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6215477803396 + 195004523217604 = 2493086^2 + 13964402^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7739217809 + ... + 7739243808.

Almost surely, 2^{201220001021000} is an apocalyptic number.

201220001021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220001021000 is an abundant number, since it is smaller than the sum of its proper divisors (305854401584680).

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

201220001021000 is a wasteful number, since it uses less digits than its factorization.

201220001021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15478461651 (or 15478461637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201220001021000 its reverse (120100022102), we get a palindrome (201340101043102).

The spelling of 201220001021000 in words is "two hundred one trillion, two hundred twenty billion, one million, twenty-one thousand".