102211010221201 has 16 divisors (see below), whose sum is σ = 123684388902144. Its totient is φ = 82455622769664.

The previous prime is 102211010221147. The next prime is 102211010221207. The reversal of 102211010221201 is 102122010112201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102211010221201 is a prime.

It is a super-2 number, since 2×102211010221201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102211010221207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32197161 + ... + 35228953.

It is an arithmetic number, because the mean of its divisors is an integer number (7730274306384).

Almost surely, 2^{102211010221201} is an apocalyptic number.

It is an amenable number.

102211010221201 is a deficient number, since it is larger than the sum of its proper divisors (21473378680943).

102211010221201 is a wasteful number, since it uses less digits than its factorization.

102211010221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315120.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102211010221201 its reverse (102122010112201), we get a palindrome (204333020333402).

The spelling of 102211010221201 in words is "one hundred two trillion, two hundred eleven billion, ten million, two hundred twenty-one thousand, two hundred one".