1021101101213 has 2 divisors, whose sum is σ = 1021101101214. Its totient is φ = 1021101101212.

The previous prime is 1021101101201. The next prime is 1021101101227. The reversal of 1021101101213 is 3121011011201.

It is an a-pointer prime, because the next prime (1021101101227) can be obtained adding 1021101101213 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 899259613849 + 121841487364 = 948293^2 + 349058^2 .

It is an emirp because it is prime and its reverse (3121011011201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021101101213 - 2³⁴ = 1003921232029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021101101263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510550550606 + 510550550607.

It is an arithmetic number, because the mean of its divisors is an integer number (510550550607).

Almost surely, 2^{1021101101213} is an apocalyptic number.

It is an amenable number.

1021101101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021101101213 is an equidigital number, since it uses as much as digits as its factorization.

1021101101213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1021101101213 its reverse (3121011011201), we get a palindrome (4142112112414).

The spelling of 1021101101213 in words is "one trillion, twenty-one billion, one hundred one million, one hundred one thousand, two hundred thirteen".