2002121011111 has 16 divisors (see below), whose sum is σ = 2284924801824. Its totient is φ = 1737903412224.

The previous prime is 2002121011031. The next prime is 2002121011141. The reversal of 2002121011111 is 1111101212002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2002121011111 - 2¹⁵ = 2002120978343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002121011091 and 2002121011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002121011141) 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, 3637806 + ... + 4151851.

It is an arithmetic number, because the mean of its divisors is an integer number (142807800114).

Almost surely, 2^{2002121011111} is an apocalyptic number.

2002121011111 is a deficient number, since it is larger than the sum of its proper divisors (282803790713).

2002121011111 is a wasteful number, since it uses less digits than its factorization.

2002121011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790850.

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

Adding to 2002121011111 its reverse (1111101212002), we get a palindrome (3113222223113).

The spelling of 2002121011111 in words is "two trillion, two billion, one hundred twenty-one million, eleven thousand, one hundred eleven".