211101102100122 has 96 divisors (see below), whose sum is σ = 464941985808960. Its totient is φ = 63851113497600.

The previous prime is 211101102100117. The next prime is 211101102100129. The reversal of 211101102100122 is 221001201101112.

It is a happy number.

It is a super-2 number, since 2×211101102100122² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211101102100129) 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, 3356266978 + ... + 3356329874.

It is an arithmetic number, because the mean of its divisors is an integer number (4843145685510).

Almost surely, 2^{211101102100122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211101102100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232470992904480).

211101102100122 is an abundant number, since it is smaller than the sum of its proper divisors (253840883708838).

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

211101102100122 is a wasteful number, since it uses less digits than its factorization.

211101102100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119088 (or 119075 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211101102100122 its reverse (221001201101112), we get a palindrome (432102303201234).

The spelling of 211101102100122 in words is "two hundred eleven trillion, one hundred one billion, one hundred two million, one hundred thousand, one hundred twenty-two".