10111012002101 has 4 divisors (see below), whose sum is σ = 10113700389804. Its totient is φ = 10108323614400.

The previous prime is 10111012002073. The next prime is 10111012002191. The reversal of 10111012002101 is 10120021011101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4815149979025 + 5295862023076 = 2194345^2 + 2301274^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111012002101 - 2¹⁸ = 10111011739957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111012002191) 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, 1344188210 + ... + 1344195731.

It is an arithmetic number, because the mean of its divisors is an integer number (2528425097451).

Almost surely, 2^{10111012002101} is an apocalyptic number.

It is an amenable number.

10111012002101 is a deficient number, since it is larger than the sum of its proper divisors (2688387703).

10111012002101 is an equidigital number, since it uses as much as digits as its factorization.

10111012002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688387702.

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

Adding to 10111012002101 its reverse (10120021011101), we get a palindrome (20231033013202).

The spelling of 10111012002101 in words is "ten trillion, one hundred eleven billion, twelve million, two thousand, one hundred one".