221011001021000 has 64 divisors (see below), whose sum is σ = 517357789444080. Its totient is φ = 88371571852800.

The previous prime is 221011001020991. The next prime is 221011001021033. The reversal of 221011001021000 is 120100110122.

It can be written as a sum of positive squares in 8 ways, for example, as 6384809205124 + 214626191815876 = 2526818^2 + 14650126^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38341349 + ... + 43727348.

Almost surely, 2^{221011001021000} is an apocalyptic number.

221011001021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011001021000 is an abundant number, since it is smaller than the sum of its proper divisors (296346788423080).

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

221011001021000 is a wasteful number, since it uses less digits than its factorization.

221011001021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82071411 (or 82071397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221011001021000 its reverse (120100110122), we get a palindrome (221131101131122).

The spelling of 221011001021000 in words is "two hundred twenty-one trillion, eleven billion, one million, twenty-one thousand".