211101222101112 has 96 divisors (see below), whose sum is σ = 659877936288480. Its totient is φ = 59717460268800.

The previous prime is 211101222101051. The next prime is 211101222101113.

It is a happy number.

211101222101112 is a `hidden beast` number, since 211 + 10 + 122 + 210 + 1 + 112 = 666.

211101222101112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101222101113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2073472023 + ... + 2073573830.

It is an arithmetic number, because the mean of its divisors is an integer number (6873728503005).

Almost surely, 2^{211101222101112} is an apocalyptic number.

It is an amenable number.

211101222101112 is an abundant number, since it is smaller than the sum of its proper divisors (448776714187368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211101222101112 is a wasteful number, since it uses less digits than its factorization.

211101222101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147045973 (or 4147045966 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 211101222101112 in words is "two hundred eleven trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, one hundred twelve".