101211101001201 has 32 divisors (see below), whose sum is σ = 137543146820352. Its totient is φ = 66177470810880.

The previous prime is 101211101001191. The next prime is 101211101001251. The reversal of 101211101001201 is 102100101112101.

It is not a de Polignac number, because 101211101001201 - 2⁶ = 101211101001137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101211101001251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9520369156 + ... + 9520379786.

It is an arithmetic number, because the mean of its divisors is an integer number (4298223338136).

Almost surely, 2^{101211101001201} is an apocalyptic number.

It is an amenable number.

101211101001201 is a deficient number, since it is larger than the sum of its proper divisors (36332045819151).

101211101001201 is a wasteful number, since it uses less digits than its factorization.

101211101001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26313.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101211101001201 its reverse (102100101112101), we get a palindrome (203311202113302).

The spelling of 101211101001201 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, one thousand, two hundred one".