101211210101201 has 2 divisors, whose sum is σ = 101211210101202. Its totient is φ = 101211210101200.

The previous prime is 101211210101167. The next prime is 101211210101233. The reversal of 101211210101201 is 102101012112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73119344470225 + 28091865630976 = 8550985^2 + 5300176^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211210101201 - 2³⁴ = 101194030232017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101211210101251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605605050600 + 50605605050601.

It is an arithmetic number, because the mean of its divisors is an integer number (50605605050601).

Almost surely, 2^{101211210101201} is an apocalyptic number.

It is an amenable number.

101211210101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211210101201 is an equidigital number, since it uses as much as digits as its factorization.

101211210101201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101211210101201 its reverse (102101012112101), we get a palindrome (203312222213302).

The spelling of 101211210101201 in words is "one hundred one trillion, two hundred eleven billion, two hundred ten million, one hundred one thousand, two hundred one".