2111001000101 has 8 divisors (see below), whose sum is σ = 2436459429504. Its totient is φ = 1791514285200.

The previous prime is 2111001000091. The next prime is 2111001000127. The reversal of 2111001000101 is 1010001001112.

It is a happy number.

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

It is not a de Polignac number, because 2111001000101 - 2¹⁰ = 2111000999077 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 (2111001002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1492927865 + ... + 1492929278.

It is an arithmetic number, because the mean of its divisors is an integer number (304557428688).

Almost surely, 2^{2111001000101} is an apocalyptic number.

It is an amenable number.

2111001000101 is a deficient number, since it is larger than the sum of its proper divisors (325458429403).

2111001000101 is a wasteful number, since it uses less digits than its factorization.

2111001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985857251.

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

Adding to 2111001000101 its reverse (1010001001112), we get a palindrome (3121002001213).

The spelling of 2111001000101 in words is "two trillion, one hundred eleven billion, one million, one hundred one", and thus it is an aban number.