101145033310464 has 1440 divisors, whose sum is σ = 376010634384000. Its totient is φ = 26568091238400.

The previous prime is 101145033310429. The next prime is 101145033310493. The reversal of 101145033310464 is 464013330541101.

101145033310464 is a `hidden beast` number, since 1 + 0 + 1 + 14 + 503 + 33 + 104 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25154196774 + ... + 25154200794.

It is an arithmetic number, because the mean of its divisors is an integer number (261118496100).

Almost surely, 2^{101145033310464} 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 101145033310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188005317192000).

101145033310464 is an abundant number, since it is smaller than the sum of its proper divisors (274865601073536).

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

101145033310464 is a wasteful number, since it uses less digits than its factorization.

101145033310464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 101145033310464 its reverse (464013330541101), we get a palindrome (565158363851565).

The spelling of 101145033310464 in words is "one hundred one trillion, one hundred forty-five billion, thirty-three million, three hundred ten thousand, four hundred sixty-four".