102102211012201 has 16 divisors (see below), whose sum is σ = 107520281100288. Its totient is φ = 96833585797200.

The previous prime is 102102211012171. The next prime is 102102211012231. The reversal of 102102211012201 is 102210112201201.

It is an interprime number because it is at equal distance from previous prime (102102211012171) and next prime (102102211012231).

It is a cyclic number.

It is not a de Polignac number, because 102102211012201 - 2⁵ = 102102211012169 is a prime.

It is a super-2 number, since 2×102102211012201² (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 (102102211012231) 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, 138521685 + ... + 139256818.

It is an arithmetic number, because the mean of its divisors is an integer number (6720017568768).

Almost surely, 2^{102102211012201} is an apocalyptic number.

It is an amenable number.

102102211012201 is a deficient number, since it is larger than the sum of its proper divisors (5418070088087).

102102211012201 is a wasteful number, since it uses less digits than its factorization.

102102211012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277778772.

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

Adding to 102102211012201 its reverse (102210112201201), we get a palindrome (204312323213402).

The spelling of 102102211012201 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, twelve thousand, two hundred one".