2121012011213 has 16 divisors (see below), whose sum is σ = 2218096742400. Its totient is φ = 2024336932464.

The previous prime is 2121012011197. The next prime is 2121012011243. The reversal of 2121012011213 is 3121102101212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2121012011213 - 2⁴ = 2121012011197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121012011191 and 2121012011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121012011243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23365688 + ... + 23456286.

It is an arithmetic number, because the mean of its divisors is an integer number (138631046400).

Almost surely, 2^{2121012011213} is an apocalyptic number.

2121012011213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2121012011213 is a deficient number, since it is larger than the sum of its proper divisors (97084731187).

2121012011213 is a wasteful number, since it uses less digits than its factorization.

2121012011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92848.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2121012011213 its reverse (3121102101212), we get a palindrome (5242114112425).

The spelling of 2121012011213 in words is "two trillion, one hundred twenty-one billion, twelve million, eleven thousand, two hundred thirteen".