10101668269248 has 896 divisors, whose sum is σ = 32546202624000. Its totient is φ = 3060593786880.

The previous prime is 10101668269243. The next prime is 10101668269261. The reversal of 10101668269248 is 84296286610101.

10101668269248 is a `hidden beast` number, since 101 + 0 + 166 + 82 + 69 + 248 = 666.

10101668269248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10101668269194 and 10101668269203.

It is not an unprimeable number, because it can be changed into a prime (10101668269241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42266394313 + ... + 42266394551.

Almost surely, 2^{10101668269248} is an apocalyptic number.

10101668269248 is a gapful number since it is divisible by the number (18) 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 10101668269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273101312000).

10101668269248 is an abundant number, since it is smaller than the sum of its proper divisors (22444534354752).

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

10101668269248 is a wasteful number, since it uses less digits than its factorization.

10101668269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10101668269248 in words is "ten trillion, one hundred one billion, six hundred sixty-eight million, two hundred sixty-nine thousand, two hundred forty-eight".