111221210000201 has 24 divisors (see below), whose sum is σ = 130538072086920. Its totient is φ = 94479156076032.

The previous prime is 111221210000179. The next prime is 111221210000207. The reversal of 111221210000201 is 102000012122111.

It can be written as a sum of positive squares in 4 ways, for example, as 24907076508601 + 86314133491600 = 4990699^2 + 9290540^2 .

It is not a de Polignac number, because 111221210000201 - 2³⁸ = 110946332093257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111221210000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53401355 + ... + 55444991.

It is an arithmetic number, because the mean of its divisors is an integer number (5439086336955).

Almost surely, 2^{111221210000201} is an apocalyptic number.

It is an amenable number.

111221210000201 is a deficient number, since it is larger than the sum of its proper divisors (19316862086719).

111221210000201 is a wasteful number, since it uses less digits than its factorization.

111221210000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053593 (or 2053586 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111221210000201 its reverse (102000012122111), we get a palindrome (213221222122312).

The spelling of 111221210000201 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, two hundred one", and thus it is an aban number.