21101214122137 has 2 divisors, whose sum is σ = 21101214122138. Its totient is φ = 21101214122136.

The previous prime is 21101214122119. The next prime is 21101214122179. The reversal of 21101214122137 is 73122141210112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13627054122256 + 7474159999881 = 3691484^2 + 2733891^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21101214122137 is a prime.

It is a super-3 number, since 3×21101214122137³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (21101214122437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550607061068 + 10550607061069.

It is an arithmetic number, because the mean of its divisors is an integer number (10550607061069).

Almost surely, 2^{21101214122137} is an apocalyptic number.

It is an amenable number.

21101214122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101214122137 is an equidigital number, since it uses as much as digits as its factorization.

21101214122137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 21101214122137 its reverse (73122141210112), we get a palindrome (94223355332249).

The spelling of 21101214122137 in words is "twenty-one trillion, one hundred one billion, two hundred fourteen million, one hundred twenty-two thousand, one hundred thirty-seven".