102211100101110 has 384 divisors, whose sum is σ = 338563559835648. Its totient is φ = 19410814080000.

The previous prime is 102211100101109. The next prime is 102211100101183. The reversal of 102211100101110 is 11101001112201.

102211100101110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18824115 + ... + 23638305.

It is an arithmetic number, because the mean of its divisors is an integer number (881675937072).

Almost surely, 2^{102211100101110} is an apocalyptic number.

102211100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211100101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169281779917824).

102211100101110 is an abundant number, since it is smaller than the sum of its proper divisors (236352459734538).

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

102211100101110 is a wasteful number, since it uses less digits than its factorization.

102211100101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814340 (or 4814333 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102211100101110 its reverse (11101001112201), we get a palindrome (113312101213311).

The spelling of 102211100101110 in words is "one hundred two trillion, two hundred eleven billion, one hundred million, one hundred one thousand, one hundred ten".