2111416021 has 64 divisors (see below), whose sum is σ = 2735308800. Its totient is φ = 1600300800.

The previous prime is 2111416019. The next prime is 2111416049. The reversal of 2111416021 is 1206141112.

It is a 4-Lehmer number, since φ(2111416021) divides (2111416021-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 2111416021 - 2¹ = 2111416019 is a prime.

It is a super-2 number, since 2×2111416021² = 8916155227470944882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a deceptive number, since it divides R_2111416020.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2111416021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111416051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10006606 + ... + 10006816.

It is an arithmetic number, because the mean of its divisors is an integer number (42739200).

It is a Poulet number, since it divides 2^2111416020-1.

Almost surely, 2^2111416021 is an apocalyptic number.

It is an amenable number.

2111416021 is a deficient number, since it is larger than the sum of its proper divisors (623892779).

2111416021 is a wasteful number, since it uses less digits than its factorization.

2111416021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 2111416021 is about 45950.1471270768. The cubic root of 2111416021 is about 1282.8954677710.

Adding to 2111416021 its reverse (1206141112), we get a palindrome (3317557133).

The spelling of 2111416021 in words is "two billion, one hundred eleven million, four hundred sixteen thousand, twenty-one".