101211121001101 has 16 divisors (see below), whose sum is σ = 106372882627200. Its totient is φ = 96112818635328.

The previous prime is 101211121001077. The next prime is 101211121001113. The reversal of 101211121001101 is 101100121112101.

It is not a de Polignac number, because 101211121001101 - 2³¹ = 101208973517453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211121001131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288184315 + ... + 288535303.

It is an arithmetic number, because the mean of its divisors is an integer number (6648305164200).

Almost surely, 2^{101211121001101} is an apocalyptic number.

It is an amenable number.

101211121001101 is a deficient number, since it is larger than the sum of its proper divisors (5161761626099).

101211121001101 is a wasteful number, since it uses less digits than its factorization.

101211121001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441348.

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

Adding to 101211121001101 its reverse (101100121112101), we get a palindrome (202311242113202).

The spelling of 101211121001101 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-one million, one thousand, one hundred one".