10101392954496 has 384 divisors, whose sum is σ = 29730930269040. Its totient is φ = 3291288698880.

The previous prime is 10101392954489. The next prime is 10101392954509. The reversal of 10101392954496 is 69445929310101.

10101392954496 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 3 + 9 + 2 + 9 + 544 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9638938552896 + 462454401600 = 3104664^2 + 680040^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10101392954496² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4854104176 + ... + 4854106256.

Almost surely, 2^{10101392954496} is an apocalyptic number.

10101392954496 is a gapful number since it is divisible by the number (16) 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 10101392954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865465134520).

10101392954496 is an abundant number, since it is smaller than the sum of its proper divisors (19629537314544).

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

10101392954496 is a wasteful number, since it uses less digits than its factorization.

10101392954496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10101392954496 in words is "ten trillion, one hundred one billion, three hundred ninety-two million, nine hundred fifty-four thousand, four hundred ninety-six".