102211011122201 has 16 divisors (see below), whose sum is σ = 108433118102400. Its totient is φ = 96012258617088.

The previous prime is 102211011122177. The next prime is 102211011122219. The reversal of 102211011122201 is 102221110112201.

It is a cyclic number.

It is not a de Polignac number, because 102211011122201 - 2⁴² = 97812964611097 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 102211011122201.

It is not an unprimeable number, because it can be changed into a prime (102211011182201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58760540 + ... + 60474978.

It is an arithmetic number, because the mean of its divisors is an integer number (6777069881400).

Almost surely, 2^{102211011122201} is an apocalyptic number.

It is an amenable number.

102211011122201 is a deficient number, since it is larger than the sum of its proper divisors (6222106980199).

102211011122201 is a wasteful number, since it uses less digits than its factorization.

102211011122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721248.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102211011122201 its reverse (102221110112201), we get a palindrome (204432121234402).

The spelling of 102211011122201 in words is "one hundred two trillion, two hundred eleven billion, eleven million, one hundred twenty-two thousand, two hundred one".