101344122264 has 64 divisors (see below), whose sum is σ = 315877789440. Its totient is φ = 26323148160.

The previous prime is 101344122263. The next prime is 101344122277. The reversal of 101344122264 is 462221443101.

It is a super-2 number, since 2×101344122264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101344122263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27418099 + ... + 27421794.

It is an arithmetic number, because the mean of its divisors is an integer number (4935590460).

Almost surely, 2^101344122264 is an apocalyptic number.

101344122264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101344122264 is an abundant number, since it is smaller than the sum of its proper divisors (214533667176).

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

101344122264 is a wasteful number, since it uses less digits than its factorization.

101344122264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54839920 (or 54839916 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 101344122264 its reverse (462221443101), we get a palindrome (563565565365).

The spelling of 101344122264 in words is "one hundred one billion, three hundred forty-four million, one hundred twenty-two thousand, two hundred sixty-four".