10011002112001 has 4 divisors (see below), whose sum is σ = 10921093213104. Its totient is φ = 9100911010900.

The previous prime is 10011002111983. The next prime is 10011002112047. The reversal of 10011002112001 is 10021120011001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10011002112001 - 2²⁷ = 10010867894273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011002112701) 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, 455045550535 + ... + 455045550556.

It is an arithmetic number, because the mean of its divisors is an integer number (2730273303276).

Almost surely, 2^{10011002112001} is an apocalyptic number.

10011002112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011002112001 is a deficient number, since it is larger than the sum of its proper divisors (910091101103).

10011002112001 is an equidigital number, since it uses as much as digits as its factorization.

10011002112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910091101102.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011002112001 its reverse (10021120011001), we get a palindrome (20032122123002).

It can be divided in two parts, 1001 and 1002112001, that multiplied together give a palindrome (1003114113001).

The spelling of 10011002112001 in words is "ten trillion, eleven billion, two million, one hundred twelve thousand, one".