101051614664 has 128 divisors (see below), whose sum is σ = 254643782400. Its totient is φ = 36306800640.

The previous prime is 101051614619. The next prime is 101051614669. The reversal of 101051614664 is 466416150101.

It is a super-2 number, since 2×101051614664² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101051614669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9035444 + ... + 9046620.

It is an arithmetic number, because the mean of its divisors is an integer number (1989404550).

Almost surely, 2^101051614664 is an apocalyptic number.

101051614664 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 101051614664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127321891200).

101051614664 is an abundant number, since it is smaller than the sum of its proper divisors (153592167736).

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

101051614664 is a wasteful number, since it uses less digits than its factorization.

101051614664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12343 (or 12339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 101051614664 its reverse (466416150101), we get a palindrome (567467764765).

The spelling of 101051614664 in words is "one hundred one billion, fifty-one million, six hundred fourteen thousand, six hundred sixty-four".