21101201021013 has 16 divisors (see below), whose sum is σ = 28678070113920. Its totient is φ = 13796127185984.

The previous prime is 21101201021003. The next prime is 21101201021023. The reversal of 21101201021013 is 31012010210112.

It is an interprime number because it is at equal distance from previous prime (21101201021003) and next prime (21101201021023).

It is not a de Polignac number, because 21101201021013 - 2¹⁴ = 21101201004629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21101201020983 and 21101201021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101201021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28071393 + ... + 28813286.

It is an arithmetic number, because the mean of its divisors is an integer number (1792379382120).

Almost surely, 2^{21101201021013} is an apocalyptic number.

It is an amenable number.

21101201021013 is a deficient number, since it is larger than the sum of its proper divisors (7576869092907).

21101201021013 is a wasteful number, since it uses less digits than its factorization.

21101201021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56887068.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21101201021013 its reverse (31012010210112), we get a palindrome (52113211231125).

The spelling of 21101201021013 in words is "twenty-one trillion, one hundred one billion, two hundred one million, twenty-one thousand, thirteen".