102201113311 has 16 divisors (see below), whose sum is σ = 115214571648. Its totient is φ = 89850852000.

The previous prime is 102201113299. The next prime is 102201113327. The reversal of 102201113311 is 113311102201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102201113311 - 2¹³ = 102201105119 is a prime.

It is a super-2 number, since 2×102201113311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201113351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021881 + ... + 1117426.

It is an arithmetic number, because the mean of its divisors is an integer number (7200910728).

Almost surely, 2^102201113311 is an apocalyptic number.

102201113311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102201113311 is a deficient number, since it is larger than the sum of its proper divisors (13013458337).

102201113311 is a wasteful number, since it uses less digits than its factorization.

102201113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139462.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102201113311 its reverse (113311102201), we get a palindrome (215512215512).

It can be divided in two parts, 102201 and 113311, that added together give a palindrome (215512).

The spelling of 102201113311 in words is "one hundred two billion, two hundred one million, one hundred thirteen thousand, three hundred eleven".