101100111001211 has 8 divisors (see below), whose sum is σ = 116141652313824. Its totient is φ = 86208236766720.

The previous prime is 101100111001189. The next prime is 101100111001213. The reversal of 101100111001211 is 112100111001101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100111001211 - 2⁶ = 101100111001147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100111001192 and 101100111001201.

It is not an unprimeable number, because it can be changed into a prime (101100111001213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37416768080 + ... + 37416770781.

It is an arithmetic number, because the mean of its divisors is an integer number (14517706539228).

Almost surely, 2^{101100111001211} is an apocalyptic number.

101100111001211 is a deficient number, since it is larger than the sum of its proper divisors (15041541312613).

101100111001211 is an equidigital number, since it uses as much as digits as its factorization.

101100111001211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74833539061.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101100111001211 its reverse (112100111001101), we get a palindrome (213200222002312).

The spelling of 101100111001211 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one thousand, two hundred eleven".