221201001021 has 256 divisors, whose sum is σ = 429083246592. Its totient is φ = 97625088000.

The previous prime is 221201000989. The next prime is 221201001089. The reversal of 221201001021 is 120100102122.

221201001021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221201001021 - 2⁵ = 221201000989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221201000988 and 221201001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221201001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 258110425 + ... + 258111281.

It is an arithmetic number, because the mean of its divisors is an integer number (1676106432).

Almost surely, 2^221201001021 is an apocalyptic number.

221201001021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221201001021 is a deficient number, since it is larger than the sum of its proper divisors (207882245571).

221201001021 is a wasteful number, since it uses less digits than its factorization.

221201001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221201001021 its reverse (120100102122), we get a palindrome (341301103143).

It can be divided in two parts, 22 and 1201001021, that multiplied together give a palindrome (26422022462).

The spelling of 221201001021 in words is "two hundred twenty-one billion, two hundred one million, one thousand, twenty-one".