101223032064 has 216 divisors, whose sum is σ = 338423117760. Its totient is φ = 26291527680.

The previous prime is 101223032063. The next prime is 101223032077. The reversal of 101223032064 is 460230322101.

101223032064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101223032064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223032063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572692 + ... + 728300.

Almost surely, 2^101223032064 is an apocalyptic number.

101223032064 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 101223032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169211558880).

101223032064 is an abundant number, since it is smaller than the sum of its proper divisors (237200085696).

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

101223032064 is a wasteful number, since it uses less digits than its factorization.

101223032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155657 (or 155632 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101223032064 its reverse (460230322101), we get a palindrome (561453354165).

The spelling of 101223032064 in words is "one hundred one billion, two hundred twenty-three million, thirty-two thousand, sixty-four".