101011002340 has 12 divisors (see below), whose sum is σ = 212123104956. Its totient is φ = 40404400928.

The previous prime is 101011002277. The next prime is 101011002341. The reversal of 101011002340 is 43200110101.

101011002340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21505049316 + 79505953024 = 146646^2 + 281968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101011002340.

It is not an unprimeable number, because it can be changed into a prime (101011002341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525275039 + ... + 2525275078.

It is an arithmetic number, because the mean of its divisors is an integer number (17676925413).

Almost surely, 2^101011002340 is an apocalyptic number.

101011002340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011002340 is an abundant number, since it is smaller than the sum of its proper divisors (111112102616).

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

101011002340 is a wasteful number, since it uses less digits than its factorization.

101011002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050550126 (or 5050550124 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101011002340 its reverse (43200110101), we get a palindrome (144211112441).

The spelling of 101011002340 in words is "one hundred one billion, eleven million, two thousand, three hundred forty".