102122211201201 has 20 divisors (see below), whose sum is σ = 152554595376612. Its totient is φ = 68080732149888.

The previous prime is 102122211201193. The next prime is 102122211201211. The reversal of 102122211201201 is 102102112221201.

102122211201201 is a `hidden beast` number, since 10 + 21 + 22 + 211 + 201 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75598155878400 + 26524055322801 = 8694720^2 + 5150151^2 .

It is not a de Polignac number, because 102122211201201 - 2³ = 102122211201193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122211201211) 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 19 ways as a sum of consecutive naturals, for example, 658501 + ... + 14306573.

Almost surely, 2^{102122211201201} is an apocalyptic number.

It is an amenable number.

102122211201201 is a deficient number, since it is larger than the sum of its proper divisors (50432384175411).

102122211201201 is an equidigital number, since it uses as much as digits as its factorization.

102122211201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13740462 (or 13740453 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122211201201 its reverse (102102112221201), we get a palindrome (204224323422402).

The spelling of 102122211201201 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, two hundred one".