101210211122111 has 16 divisors (see below), whose sum is σ = 124643832398400. Its totient is φ = 80028639629568.

The previous prime is 101210211122071. The next prime is 101210211122123. The reversal of 101210211122111 is 111221112012101.

It is not a de Polignac number, because 101210211122111 - 2²² = 101210206927807 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101210211122111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210211122171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345472016 + ... + 345764853.

It is an arithmetic number, because the mean of its divisors is an integer number (7790239524900).

Almost surely, 2^{101210211122111} is an apocalyptic number.

101210211122111 is a deficient number, since it is larger than the sum of its proper divisors (23433621276289).

101210211122111 is a wasteful number, since it uses less digits than its factorization.

101210211122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691238498.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101210211122111 its reverse (111221112012101), we get a palindrome (212431323134212).

The spelling of 101210211122111 in words is "one hundred one trillion, two hundred ten billion, two hundred eleven million, one hundred twenty-two thousand, one hundred eleven".