101211210101101 has 2 divisors, whose sum is σ = 101211210101102. Its totient is φ = 101211210101100.

The previous prime is 101211210101093. The next prime is 101211210101147. The reversal of 101211210101101 is 101101012112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100383346684201 + 827863416900 = 10019149^2 + 909870^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211210101101 - 2³ = 101211210101093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211210101201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605605050550 + 50605605050551.

It is an arithmetic number, because the mean of its divisors is an integer number (50605605050551).

Almost surely, 2^{101211210101101} is an apocalyptic number.

It is an amenable number.

101211210101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211210101101 is an equidigital number, since it uses as much as digits as its factorization.

101211210101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101211210101101 its reverse (101101012112101), we get a palindrome (202312222213202).

The spelling of 101211210101101 in words is "one hundred one trillion, two hundred eleven billion, two hundred ten million, one hundred one thousand, one hundred one".