2111021022101 has 4 divisors (see below), whose sum is σ = 2121958955052. Its totient is φ = 2100083089152.

The previous prime is 2111021022091. The next prime is 2111021022107. The reversal of 2111021022101 is 1012201201112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1509777412900 + 601243609201 = 1228730^2 + 775399^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111021022101 - 2¹⁸ = 2111020759957 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 (2111021022107) 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, 5468966186 + ... + 5468966571.

It is an arithmetic number, because the mean of its divisors is an integer number (530489738763).

Almost surely, 2^{2111021022101} is an apocalyptic number.

It is an amenable number.

2111021022101 is a deficient number, since it is larger than the sum of its proper divisors (10937932951).

2111021022101 is a wasteful number, since it uses less digits than its factorization.

2111021022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937932950.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2111021022101 its reverse (1012201201112), we get a palindrome (3123222223213).

The spelling of 2111021022101 in words is "two trillion, one hundred eleven billion, twenty-one million, twenty-two thousand, one hundred one".