211122100022101 has 8 divisors (see below), whose sum is σ = 213212970158904. Its totient is φ = 209031240715200.

The previous prime is 211122100022033. The next prime is 211122100022107. The reversal of 211122100022101 is 101220001221112.

It can be written as a sum of positive squares in 4 ways, for example, as 57614931202500 + 153507168819601 = 7590450^2 + 12389801^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211122100022101 is a prime.

It is a super-2 number, since 2×211122100022101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122100022107) 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, 39755811 + ... + 44752303.

It is an arithmetic number, because the mean of its divisors is an integer number (26651621269863).

Almost surely, 2^{211122100022101} is an apocalyptic number.

It is an amenable number.

211122100022101 is a deficient number, since it is larger than the sum of its proper divisors (2090870136803).

211122100022101 is a wasteful number, since it uses less digits than its factorization.

211122100022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414951.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211122100022101 its reverse (101220001221112), we get a palindrome (312342101243213).

The spelling of 211122100022101 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, one hundred one".