101211201101 has 2 divisors, whose sum is σ = 101211201102. Its totient is φ = 101211201100.

The previous prime is 101211201097. The next prime is 101211201187. The reversal of 101211201101 is 101102112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55190225476 + 46020975625 = 234926^2 + 214525^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211201101 - 2² = 101211201097 is a prime.

It is a super-3 number, since 3×101211201101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211201401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605600550 + 50605600551.

It is an arithmetic number, because the mean of its divisors is an integer number (50605600551).

Almost surely, 2^101211201101 is an apocalyptic number.

It is an amenable number.

101211201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211201101 is an equidigital number, since it uses as much as digits as its factorization.

101211201101 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 11.

Adding to 101211201101 its reverse (101102112101), we get a palindrome (202313313202).

The spelling of 101211201101 in words is "one hundred one billion, two hundred eleven million, two hundred one thousand, one hundred one".