1020121121101 has 2 divisors, whose sum is σ = 1020121121102. Its totient is φ = 1020121121100.

The previous prime is 1020121121021. The next prime is 1020121121153. The reversal of 1020121121101 is 1011211210201.

It is a happy number.

1020121121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 587813556100 + 432307565001 = 766690^2 + 657501^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020121121101 - 2²⁵ = 1020087566669 is a prime.

It is a super-2 number, since 2×1020121121101² (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 (1020121128101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510060560550 + 510060560551.

It is an arithmetic number, because the mean of its divisors is an integer number (510060560551).

Almost surely, 2^{1020121121101} is an apocalyptic number.

It is an amenable number.

1020121121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020121121101 is an equidigital number, since it uses as much as digits as its factorization.

1020121121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1020121121101 its reverse (1011211210201), we get a palindrome (2031332331302).

The spelling of 1020121121101 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred one".