10385395721100 has 54 divisors (see below), whose sum is σ = 32552445924180. Its totient is φ = 2769438858720.

The previous prime is 10385395721081. The next prime is 10385395721123. The reversal of 10385395721100 is 112759358301.

10385395721100 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 539 + 5 + 7 + 2 + 1 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5769663390 + ... + 5769665189.

It is an arithmetic number, because the mean of its divisors is an integer number (602823072670).

Almost surely, 2^{10385395721100} is an apocalyptic number.

10385395721100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10385395721100 is an abundant number, since it is smaller than the sum of its proper divisors (22167050203080).

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

10385395721100 is a wasteful number, since it uses less digits than its factorization.

10385395721100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11539328599 (or 11539328589 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10385395721100 in words is "ten trillion, three hundred eighty-five billion, three hundred ninety-five million, seven hundred twenty-one thousand, one hundred".