2101112001101 has 8 divisors (see below), whose sum is σ = 2173741666200. Its totient is φ = 2028494171200.

The previous prime is 2101112001073. The next prime is 2101112001113. The reversal of 2101112001101 is 1011002111012.

It can be written as a sum of positive squares in 4 ways, for example, as 739211331076 + 1361900670025 = 859774^2 + 1167005^2 .

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 2101112001101 - 2¹⁴ = 2101111984717 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 (2101112001151) 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, 2596850 + ... + 3308451.

It is an arithmetic number, because the mean of its divisors is an integer number (271717708275).

Almost surely, 2^{2101112001101} is an apocalyptic number.

It is an amenable number.

2101112001101 is a deficient number, since it is larger than the sum of its proper divisors (72629665099).

2101112001101 is a wasteful number, since it uses less digits than its factorization.

2101112001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917599.

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

Adding to 2101112001101 its reverse (1011002111012), we get a palindrome (3112114112113).

The spelling of 2101112001101 in words is "two trillion, one hundred one billion, one hundred twelve million, one thousand, one hundred one".