10102112101001 has 8 divisors (see below), whose sum is σ = 10634149982400. Its totient is φ = 9570108996720.

The previous prime is 10102112100989. The next prime is 10102112101007. The reversal of 10102112101001 is 10010121120101.

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

It is a cyclic number.

It is not a de Polignac number, because 10102112101001 - 2¹⁰ = 10102112099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102112101007) 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 7 ways as a sum of consecutive naturals, for example, 8096966 + ... + 9260943.

It is an arithmetic number, because the mean of its divisors is an integer number (1329268747800).

Almost surely, 2^{10102112101001} is an apocalyptic number.

It is an amenable number.

10102112101001 is a deficient number, since it is larger than the sum of its proper divisors (532037881399).

10102112101001 is a wasteful number, since it uses less digits than its factorization.

10102112101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388559.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102112101001 its reverse (10010121120101), we get a palindrome (20112233221102).

The spelling of 10102112101001 in words is "ten trillion, one hundred two billion, one hundred twelve million, one hundred one thousand, one".