102011101222201 has 16 divisors (see below), whose sum is σ = 103545539974800. Its totient is φ = 100487584723968.

The previous prime is 102011101222187. The next prime is 102011101222223. The reversal of 102011101222201 is 102222101110201.

It can be written as a sum of positive squares in 8 ways, for example, as 25955957900601 + 76055143321600 = 5094699^2 + 8720960^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011101222201 - 2⁴⁵ = 66826729133369 is a prime.

It is a super-2 number, since 2×102011101222201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102011101222231) 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, 703991365 + ... + 704136253.

It is an arithmetic number, because the mean of its divisors is an integer number (6471596248425).

Almost surely, 2^{102011101222201} is an apocalyptic number.

It is an amenable number.

102011101222201 is a deficient number, since it is larger than the sum of its proper divisors (1534438752599).

102011101222201 is a wasteful number, since it uses less digits than its factorization.

102011101222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182508.

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

Adding to 102011101222201 its reverse (102222101110201), we get a palindrome (204233202332402).

The spelling of 102011101222201 in words is "one hundred two trillion, eleven billion, one hundred one million, two hundred twenty-two thousand, two hundred one".