21131201213101 has 24 divisors (see below), whose sum is σ = 24985604818944. Its totient is φ = 17814504970080.

The previous prime is 21131201213041. The next prime is 21131201213107. The reversal of 21131201213101 is 10131210213112.

It is not a de Polignac number, because 21131201213101 - 2¹³ = 21131201204909 is a prime.

It is a super-2 number, since 2×21131201213101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131201213107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54034596 + ... + 54424258.

It is an arithmetic number, because the mean of its divisors is an integer number (1041066867456).

Almost surely, 2^{21131201213101} is an apocalyptic number.

It is an amenable number.

21131201213101 is a deficient number, since it is larger than the sum of its proper divisors (3854403605843).

21131201213101 is a wasteful number, since it uses less digits than its factorization.

21131201213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407881 (or 407874 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 21131201213101 its reverse (10131210213112), we get a palindrome (31262411426213).

The spelling of 21131201213101 in words is "twenty-one trillion, one hundred thirty-one billion, two hundred one million, two hundred thirteen thousand, one hundred one".