21131330201101 has 16 divisors (see below), whose sum is σ = 22002590649600. Its totient is φ = 20282387231808.

The previous prime is 21131330201083. The next prime is 21131330201119. The reversal of 21131330201101 is 10110203313112.

It is an interprime number because it is at equal distance from previous prime (21131330201083) and next prime (21131330201119).

It is a cyclic number.

It is not a de Polignac number, because 21131330201101 - 2⁷ = 21131330200973 is a prime.

It is a super-2 number, since 2×21131330201101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131330207101) 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, 22694491 + ... + 23607256.

It is an arithmetic number, because the mean of its divisors is an integer number (1375161915600).

Almost surely, 2^{21131330201101} is an apocalyptic number.

It is an amenable number.

21131330201101 is a deficient number, since it is larger than the sum of its proper divisors (871260448499).

21131330201101 is a wasteful number, since it uses less digits than its factorization.

21131330201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46301988.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 21131330201101 its reverse (10110203313112), we get a palindrome (31241533514213).

The spelling of 21131330201101 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred thirty million, two hundred one thousand, one hundred one".