202201221021000 has 128 divisors (see below), whose sum is σ = 630877132828800. Its totient is φ = 53919528748800.

The previous prime is 202201221020987. The next prime is 202201221021013. The reversal of 202201221021000 is 120122102202.

It is an interprime number because it is at equal distance from previous prime (202201221020987) and next prime (202201221021013).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218595474 + ... + 219518526.

It is an arithmetic number, because the mean of its divisors is an integer number (4928727600225).

Almost surely, 2^{202201221021000} is an apocalyptic number.

202201221021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201221021000 is an abundant number, since it is smaller than the sum of its proper divisors (428675911807800).

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

202201221021000 is a wasteful number, since it uses less digits than its factorization.

202201221021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996096 (or 996082 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202201221021000 its reverse (120122102202), we get a palindrome (202321343123202).

The spelling of 202201221021000 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, twenty-one thousand".