101106240277224 has 256 divisors, whose sum is σ = 317240785612800. Its totient is φ = 26143835332608.

The previous prime is 101106240277219. The next prime is 101106240277241. The reversal of 101106240277224 is 422772042601101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20437557 + ... + 24897915.

It is an arithmetic number, because the mean of its divisors is an integer number (1239221818800).

Almost surely, 2^{101106240277224} is an apocalyptic number.

101106240277224 is a gapful number since it is divisible by the number (14) 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 101106240277224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158620392806400).

101106240277224 is an abundant number, since it is smaller than the sum of its proper divisors (216134545335576).

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

101106240277224 is a wasteful number, since it uses less digits than its factorization.

101106240277224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460592 (or 4460588 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

Adding to 101106240277224 its reverse (422772042601101), we get a palindrome (523878282878325).

The spelling of 101106240277224 in words is "one hundred one trillion, one hundred six billion, two hundred forty million, two hundred seventy-seven thousand, two hundred twenty-four".