2121011000111 has 16 divisors (see below), whose sum is σ = 2223270766848. Its totient is φ = 2020963737600.

The previous prime is 2121011000089. The next prime is 2121011000153. The reversal of 2121011000111 is 1110001101212.

It is a cyclic number.

It is not a de Polignac number, because 2121011000111 - 2⁶ = 2121011000047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121011000092 and 2121011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121011000191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493571 + ... + 2117931.

It is an arithmetic number, because the mean of its divisors is an integer number (138954422928).

Almost surely, 2^{2121011000111} is an apocalyptic number.

2121011000111 is a deficient number, since it is larger than the sum of its proper divisors (102259766737).

2121011000111 is a wasteful number, since it uses less digits than its factorization.

2121011000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625042.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2121011000111 its reverse (1110001101212), we get a palindrome (3231012101323).

The spelling of 2121011000111 in words is "two trillion, one hundred twenty-one billion, eleven million, one hundred eleven", and thus it is an aban number.