10106145771200 has 84 divisors (see below), whose sum is σ = 24948437567592. Its totient is φ = 4029290496000.

The previous prime is 10106145771181. The next prime is 10106145771203. The reversal of 10106145771200 is 217754160101.

It is not an unprimeable number, because it can be changed into a prime (10106145771203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9796001 + ... + 10778400.

It is an arithmetic number, because the mean of its divisors is an integer number (297005209138).

Almost surely, 2^{10106145771200} is an apocalyptic number.

10106145771200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106145771200 is an abundant number, since it is smaller than the sum of its proper divisors (14842291796392).

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

10106145771200 is a wasteful number, since it uses less digits than its factorization.

10106145771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20574730 (or 20574715 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The spelling of 10106145771200 in words is "ten trillion, one hundred six billion, one hundred forty-five million, seven hundred seventy-one thousand, two hundred".