10102112120201 has 8 divisors (see below), whose sum is σ = 10315245382824. Its totient is φ = 9890999078400.

The previous prime is 10102112120173. The next prime is 10102112120209. The reversal of 10102112120201 is 10202121120101.

It can be written as a sum of positive squares in 4 ways, for example, as 2639572104976 + 7462540015225 = 1624676^2 + 2731765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102112120201 is a prime.

It is a super-2 number, since 2×10102112120201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102112120209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505045100 + ... + 505065101.

It is an arithmetic number, because the mean of its divisors is an integer number (1289405672853).

Almost surely, 2^{10102112120201} is an apocalyptic number.

It is an amenable number.

10102112120201 is a deficient number, since it is larger than the sum of its proper divisors (213133262623).

10102112120201 is a wasteful number, since it uses less digits than its factorization.

10102112120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010110411.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102112120201 its reverse (10202121120101), we get a palindrome (20304233240302).

The spelling of 10102112120201 in words is "ten trillion, one hundred two billion, one hundred twelve million, one hundred twenty thousand, two hundred one".