101226765744 has 320 divisors, whose sum is σ = 345727872000. Its totient is φ = 28039385088.

The previous prime is 101226765743. The next prime is 101226765769. The reversal of 101226765744 is 447567622101.

101226765744 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 6 + 76 + 574 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101226765744.

It is not an unprimeable number, because it can be changed into a prime (101226765743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2172807 + ... + 2218905.

It is an arithmetic number, because the mean of its divisors is an integer number (1080399600).

Almost surely, 2^101226765744 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 101226765744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172863936000).

101226765744 is an abundant number, since it is smaller than the sum of its proper divisors (244501106256).

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

101226765744 is a wasteful number, since it uses less digits than its factorization.

101226765744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46169 (or 46157 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 101226765744 in words is "one hundred one billion, two hundred twenty-six million, seven hundred sixty-five thousand, seven hundred forty-four".