10101110121340 has 48 divisors (see below), whose sum is σ = 24244110475200. Its totient is φ = 3463031158272.

The previous prime is 10101110121337. The next prime is 10101110121343. The reversal of 10101110121340 is 4312101110101.

It is an interprime number because it is at equal distance from previous prime (10101110121337) and next prime (10101110121343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110121343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212416 + ... + 4499704.

It is an arithmetic number, because the mean of its divisors is an integer number (505085634900).

Almost surely, 2^{10101110121340} is an apocalyptic number.

10101110121340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101110121340 is an abundant number, since it is smaller than the sum of its proper divisors (14143000353860).

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

10101110121340 is a wasteful number, since it uses less digits than its factorization.

10101110121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304134 (or 4304132 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10101110121340 its reverse (4312101110101), we get a palindrome (14413211231441).

The spelling of 10101110121340 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred twenty-one thousand, three hundred forty".