2101101112021 has 4 divisors (see below), whose sum is σ = 2101108364992. Its totient is φ = 2101093859052.

The previous prime is 2101101111937. The next prime is 2101101112027. The reversal of 2101101112021 is 1202111011012.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101101112021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101101111992 and 2101101112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101112027) 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, 3173055 + ... + 3777628.

It is an arithmetic number, because the mean of its divisors is an integer number (525277091248).

Almost surely, 2^{2101101112021} is an apocalyptic number.

It is an amenable number.

2101101112021 is a deficient number, since it is larger than the sum of its proper divisors (7252971).

2101101112021 is an equidigital number, since it uses as much as digits as its factorization.

2101101112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252970.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101101112021 its reverse (1202111011012), we get a palindrome (3303212123033).

It can be divided in two parts, 2101101 and 112021, that added together give a palindrome (2213122).

The spelling of 2101101112021 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, twenty-one".