102011101110 has 96 divisors (see below), whose sum is σ = 275602279680. Its totient is φ = 27148553568.

The previous prime is 102011101097. The next prime is 102011101123. The reversal of 102011101110 is 11101110201.

It is an interprime number because it is at equal distance from previous prime (102011101097) and next prime (102011101123).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102011101092 and 102011101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180561 + ... + 1264019.

It is an arithmetic number, because the mean of its divisors is an integer number (2870857080).

Almost surely, 2^102011101110 is an apocalyptic number.

102011101110 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 102011101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137801139840).

102011101110 is an abundant number, since it is smaller than the sum of its proper divisors (173591178570).

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

102011101110 is an equidigital number, since it uses as much as digits as its factorization.

102011101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83984 (or 83972 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102011101110 its reverse (11101110201), we get a palindrome (113112211311).

Subtracting from 102011101110 its reverse (11101110201), we obtain a palindrome (90909990909).

The spelling of 102011101110 in words is "one hundred two billion, eleven million, one hundred one thousand, one hundred ten".