211120122220101 has 48 divisors (see below), whose sum is σ = 315433959789312. Its totient is φ = 135975612153600.

The previous prime is 211120122220097. The next prime is 211120122220151. The reversal of 211120122220101 is 101022221021112.

211120122220101 is a `hidden beast` number, since 211 + 1 + 201 + 22 + 220 + 10 + 1 = 666.

It is not a de Polignac number, because 211120122220101 - 2² = 211120122220097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120122220151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178621536 + ... + 1178800646.

It is an arithmetic number, because the mean of its divisors is an integer number (6571540828944).

Almost surely, 2^{211120122220101} is an apocalyptic number.

It is an amenable number.

211120122220101 is a deficient number, since it is larger than the sum of its proper divisors (104313837569211).

211120122220101 is a wasteful number, since it uses less digits than its factorization.

211120122220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210274 (or 210271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211120122220101 its reverse (101022221021112), we get a palindrome (312142343241213).

The spelling of 211120122220101 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".