10101676693328 has 80 divisors (see below), whose sum is σ = 21627775733760. Its totient is φ = 4532241417600.

The previous prime is 10101676693319. The next prime is 10101676693387. The reversal of 10101676693328 is 82339667610101.

It is a super-2 number, since 2×10101676693328² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10101676693328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48936413 + ... + 49142403.

It is an arithmetic number, because the mean of its divisors is an integer number (270347196672).

Almost surely, 2^{10101676693328} 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 10101676693328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10813887866880).

10101676693328 is an abundant number, since it is smaller than the sum of its proper divisors (11526099040432).

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

10101676693328 is a wasteful number, since it uses less digits than its factorization.

10101676693328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209616 (or 209610 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 10101676693328 in words is "ten trillion, one hundred one billion, six hundred seventy-six million, six hundred ninety-three thousand, three hundred twenty-eight".