10112100001001 has 8 divisors (see below), whose sum is σ = 10119786587904. Its totient is φ = 10104414990480.

The previous prime is 10112100000971. The next prime is 10112100001057. The reversal of 10112100001001 is 10010000121101.

It is a happy number.

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 10112100001001 - 2¹⁸ = 10112099738857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10112100001001.

It is not an unprimeable number, because it can be changed into a prime (10112100001061) 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, 12602831 + ... + 13381163.

It is an arithmetic number, because the mean of its divisors is an integer number (1264973323488).

Almost surely, 2^{10112100001001} is an apocalyptic number.

It is an amenable number.

10112100001001 is a deficient number, since it is larger than the sum of its proper divisors (7686586903).

10112100001001 is an equidigital number, since it uses as much as digits as its factorization.

10112100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788191.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10112100001001 its reverse (10010000121101), we get a palindrome (20122100122102).

The spelling of 10112100001001 in words is "ten trillion, one hundred twelve billion, one hundred million, one thousand, one".