102211120201110 has 64 divisors (see below), whose sum is σ = 250539627267072. Its totient is φ = 26674924261376.

The previous prime is 102211120201109. The next prime is 102211120201111. The reversal of 102211120201110 is 11102021112201.

It is a happy number.

102211120201110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102211120201109) and next prime (102211120201111).

It is a super-3 number, since 3×102211120201110³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102211120201110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211120201111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24039382 + ... + 27969878.

It is an arithmetic number, because the mean of its divisors is an integer number (3914681676048).

Almost surely, 2^{102211120201110} is an apocalyptic number.

102211120201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102211120201110 is an abundant number, since it is smaller than the sum of its proper divisors (148328507065962).

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

102211120201110 is a wasteful number, since it uses less digits than its factorization.

102211120201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948997.

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

Adding to 102211120201110 its reverse (11102021112201), we get a palindrome (113313141313311).

The spelling of 102211120201110 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, two hundred one thousand, one hundred ten".