101008398716468 has 12 divisors (see below), whose sum is σ = 176779510935300. Its totient is φ = 50499967020672.

The previous prime is 101008398716443. The next prime is 101008398716473. The reversal of 101008398716468 is 864617893800101.

It can be written as a sum of positive squares in 2 ways, for example, as 69458922976804 + 31549475739664 = 8334202^2 + 5616892^2 .

It is a super-2 number, since 2×101008398716468² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 101008398716468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1058030693 + ... + 1058126156.

It is an arithmetic number, because the mean of its divisors is an integer number (14731625911275).

Almost surely, 2^{101008398716468} is an apocalyptic number.

It is an amenable number.

101008398716468 is a deficient number, since it is larger than the sum of its proper divisors (75771112218832).

101008398716468 is a wasteful number, since it uses less digits than its factorization.

101008398716468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116168786 (or 2116168784 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 62.

The spelling of 101008398716468 in words is "one hundred one trillion, eight billion, three hundred ninety-eight million, seven hundred sixteen thousand, four hundred sixty-eight".