10100102120201 has 4 divisors (see below), whose sum is σ = 10100189230404. Its totient is φ = 10100015010000.

The previous prime is 10100102120183. The next prime is 10100102120231. The reversal of 10100102120201 is 10202120100101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2702246110201 + 7397856010000 = 1643851^2 + 2719900^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100102120201 - 2³⁸ = 9825224213257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100102120231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43380950 + ... + 43613151.

It is an arithmetic number, because the mean of its divisors is an integer number (2525047307601).

Almost surely, 2^{10100102120201} is an apocalyptic number.

It is an amenable number.

10100102120201 is a deficient number, since it is larger than the sum of its proper divisors (87110203).

10100102120201 is an equidigital number, since it uses as much as digits as its factorization.

10100102120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87110202.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100102120201 its reverse (10202120100101), we get a palindrome (20302222220302).

The spelling of 10100102120201 in words is "ten trillion, one hundred billion, one hundred two million, one hundred twenty thousand, two hundred one".