101412541340 has 96 divisors (see below), whose sum is σ = 238087309824. Its totient is φ = 35973653760.

The previous prime is 101412541337. The next prime is 101412541343. The reversal of 101412541340 is 43145214101.

It is an interprime number because it is at equal distance from previous prime (101412541337) and next prime (101412541343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412541343) 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 31 ways as a sum of consecutive naturals, for example, 1484822 + ... + 1551618.

It is an arithmetic number, because the mean of its divisors is an integer number (2480076144).

Almost surely, 2^101412541340 is an apocalyptic number.

101412541340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101412541340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119043654912).

101412541340 is an abundant number, since it is smaller than the sum of its proper divisors (136674768484).

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

101412541340 is a wasteful number, since it uses less digits than its factorization.

101412541340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66987 (or 66985 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 101412541340 its reverse (43145214101), we get a palindrome (144557755441).

The spelling of 101412541340 in words is "one hundred one billion, four hundred twelve million, five hundred forty-one thousand, three hundred forty".