10102120002201 has 32 divisors (see below), whose sum is σ = 13969321125760. Its totient is φ = 6489506709504.

The previous prime is 10102120002179. The next prime is 10102120002209. The reversal of 10102120002201 is 10220002120101.

It is not a de Polignac number, because 10102120002201 - 2⁶ = 10102120002137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102120002209) 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 31 ways as a sum of consecutive naturals, for example, 2626905 + ... + 5206233.

It is an arithmetic number, because the mean of its divisors is an integer number (436541285180).

Almost surely, 2^{10102120002201} is an apocalyptic number.

It is an amenable number.

10102120002201 is a deficient number, since it is larger than the sum of its proper divisors (3867201123559).

10102120002201 is a wasteful number, since it uses less digits than its factorization.

10102120002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579785.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102120002201 its reverse (10220002120101), we get a palindrome (20322122122302).

The spelling of 10102120002201 in words is "ten trillion, one hundred two billion, one hundred twenty million, two thousand, two hundred one".