201411222114102 has 128 divisors (see below), whose sum is σ = 545322369973248. Its totient is φ = 48290402730240.

The previous prime is 201411222114071. The next prime is 201411222114107.

201411222114102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×201411222114102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201411222114107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137847663 + ... + 139301114.

It is an arithmetic number, because the mean of its divisors is an integer number (4260331015416).

Almost surely, 2^{201411222114102} is an apocalyptic number.

201411222114102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201411222114102 is an abundant number, since it is smaller than the sum of its proper divisors (343911147859146).

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

201411222114102 is a wasteful number, since it uses less digits than its factorization.

201411222114102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277148835 (or 277148813 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 201411222114102 in words is "two hundred one trillion, four hundred eleven billion, two hundred twenty-two million, one hundred fourteen thousand, one hundred two".