102111212021201 has 2 divisors, whose sum is σ = 102111212021202. Its totient is φ = 102111212021200.

The previous prime is 102111212021179. The next prime is 102111212021227. The reversal of 102111212021201 is 102120212111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88416409000000 + 13694803021201 = 9403000^2 + 3700649^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111212021201 - 2²² = 102111207826897 is a prime.

It is a super-2 number, since 2×102111212021201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102111212021201.

It is not a weakly prime, because it can be changed into another prime (102111212021101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055606010600 + 51055606010601.

It is an arithmetic number, because the mean of its divisors is an integer number (51055606010601).

Almost surely, 2^{102111212021201} is an apocalyptic number.

It is an amenable number.

102111212021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111212021201 is an equidigital number, since it uses as much as digits as its factorization.

102111212021201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102111212021201 its reverse (102120212111201), we get a palindrome (204231424132402).

The spelling of 102111212021201 in words is "one hundred two trillion, one hundred eleven billion, two hundred twelve million, twenty-one thousand, two hundred one".