2221010321201 has 48 divisors (see below), whose sum is σ = 2797151829840. Its totient is φ = 1751667240960.

The previous prime is 2221010321147. The next prime is 2221010321213. The reversal of 2221010321201 is 1021230101222.

It can be written as a sum of positive squares in 8 ways, for example, as 967864407601 + 1253145913600 = 983801^2 + 1119440^2 .

It is not a de Polignac number, because 2221010321201 - 2³⁴ = 2203830452017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2221010321201.

It is not an unprimeable number, because it can be changed into a prime (2221010321291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12316355 + ... + 12495383.

It is an arithmetic number, because the mean of its divisors is an integer number (58273996455).

Almost surely, 2^{2221010321201} is an apocalyptic number.

It is an amenable number.

2221010321201 is a deficient number, since it is larger than the sum of its proper divisors (576141508639).

2221010321201 is a wasteful number, since it uses less digits than its factorization.

2221010321201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179394 (or 179387 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2221010321201 its reverse (1021230101222), we get a palindrome (3242240422423).

The spelling of 2221010321201 in words is "two trillion, two hundred twenty-one billion, ten million, three hundred twenty-one thousand, two hundred one".