2101101112011 has 8 divisors (see below), whose sum is σ = 3056147072064. Its totient is φ = 1273394613320.

The previous prime is 2101101111937. The next prime is 2101101112027. The reversal of 2101101112011 is 1102111011012.

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 2101101112011 - 2¹⁸ = 2101100849867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101101112211) 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, 31834865301 + ... + 31834865366.

It is an arithmetic number, because the mean of its divisors is an integer number (382018384008).

Almost surely, 2^{2101101112011} is an apocalyptic number.

2101101112011 is a deficient number, since it is larger than the sum of its proper divisors (955045960053).

2101101112011 is a wasteful number, since it uses less digits than its factorization.

2101101112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63669730681.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2101101112011 its reverse (1102111011012), we get a palindrome (3203212123023).

The spelling of 2101101112011 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, eleven".