2101211101101 has 8 divisors (see below), whose sum is σ = 3201845487424. Its totient is φ = 1200692057760.

The previous prime is 2101211101079. The next prime is 2101211101151. The reversal of 2101211101101 is 1011011121012.

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

It is not a de Polignac number, because 2101211101101 - 2¹⁷ = 2101210970029 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 (2101211101151) 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, 50028835720 + ... + 50028835761.

It is an arithmetic number, because the mean of its divisors is an integer number (400230685928).

Almost surely, 2^{2101211101101} is an apocalyptic number.

2101211101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101211101101 is a deficient number, since it is larger than the sum of its proper divisors (1100634386323).

2101211101101 is a wasteful number, since it uses less digits than its factorization.

2101211101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100057671491.

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

Adding to 2101211101101 its reverse (1011011121012), we get a palindrome (3112222222113).

The spelling of 2101211101101 in words is "two trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred one".