1021111121101 has 2 divisors, whose sum is σ = 1021111121102. Its totient is φ = 1021111121100.

The previous prime is 1021111121083. The next prime is 1021111121131. The reversal of 1021111121101 is 1011211111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 734275896201 + 286835224900 = 856899^2 + 535570^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021111121101 - 2¹³ = 1021111112909 is a prime.

It is a super-2 number, since 2×1021111121101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021111121131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510555560550 + 510555560551.

It is an arithmetic number, because the mean of its divisors is an integer number (510555560551).

Almost surely, 2^{1021111121101} is an apocalyptic number.

It is an amenable number.

1021111121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021111121101 is an equidigital number, since it uses as much as digits as its factorization.

1021111121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1021111121101 its reverse (1011211111201), we get a palindrome (2032322232302).

The spelling of 1021111121101 in words is "one trillion, twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".