101211122210011 has 16 divisors (see below), whose sum is σ = 111564353829600. Its totient is φ = 91050891904000.

The previous prime is 101211122209987. The next prime is 101211122210021. The reversal of 101211122210011 is 110012221112101.

It is a cyclic number.

It is not a de Polignac number, because 101211122210011 - 2³⁵ = 101176762471643 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211122210021) 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, 22014376 + ... + 26211733.

It is an arithmetic number, because the mean of its divisors is an integer number (6972772114350).

Almost surely, 2^{101211122210011} is an apocalyptic number.

101211122210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101211122210011 is a deficient number, since it is larger than the sum of its proper divisors (10353231619589).

101211122210011 is a wasteful number, since it uses less digits than its factorization.

101211122210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48228110.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101211122210011 its reverse (110012221112101), we get a palindrome (211223343322112).

The spelling of 101211122210011 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-two million, two hundred ten thousand, eleven".