10101111001110 has 192 divisors, whose sum is σ = 27048113127360. Its totient is φ = 2613510282240.

The previous prime is 10101111001087. The next prime is 10101111001127. The reversal of 10101111001110 is 1110011110101.

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 = 10101111001092 and 10101111001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3530621080 + ... + 3530623940.

It is an arithmetic number, because the mean of its divisors is an integer number (140875589205).

Almost surely, 2^{10101111001110} is an apocalyptic number.

10101111001110 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 10101111001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524056563680).

10101111001110 is an abundant number, since it is smaller than the sum of its proper divisors (16947002126250).

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

10101111001110 is a wasteful number, since it uses less digits than its factorization.

10101111001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10101111001110 its reverse (1110011110101), we get a palindrome (11211122111211).

The spelling of 10101111001110 in words is "ten trillion, one hundred one billion, one hundred eleven million, one thousand, one hundred ten".