10095820101 has 32 divisors (see below), whose sum is σ = 15308881920. Its totient is φ = 6572733552.

The previous prime is 10095820057. The next prime is 10095820151. The reversal of 10095820101 is 10102859001.

It is not a de Polignac number, because 10095820101 - 2¹⁴ = 10095803717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10095820151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578956 + ... + 596138.

It is an arithmetic number, because the mean of its divisors is an integer number (478402560).

Almost surely, 2^10095820101 is an apocalyptic number.

It is an amenable number.

10095820101 is a deficient number, since it is larger than the sum of its proper divisors (5213061819).

10095820101 is a wasteful number, since it uses less digits than its factorization.

10095820101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17702 (or 17696 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 10095820101 in words is "ten billion, ninety-five million, eight hundred twenty thousand, one hundred one".