101224013256 has 160 divisors (see below), whose sum is σ = 288130407840. Its totient is φ = 33194126592.

The previous prime is 101224013239. The next prime is 101224013263. The reversal of 101224013256 is 652310422101.

101224013256 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 401 + 3 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62214315 + ... + 62215941.

It is an arithmetic number, because the mean of its divisors is an integer number (1800815049).

Almost surely, 2^101224013256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101224013256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144065203920).

101224013256 is an abundant number, since it is smaller than the sum of its proper divisors (186906394584).

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

101224013256 is a wasteful number, since it uses less digits than its factorization.

101224013256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101224013256 its reverse (652310422101), we get a palindrome (753534435357).

The spelling of 101224013256 in words is "one hundred one billion, two hundred twenty-four million, thirteen thousand, two hundred fifty-six".