1020121220137 has 2 divisors, whose sum is σ = 1020121220138. Its totient is φ = 1020121220136.

The previous prime is 1020121220101. The next prime is 1020121220147. The reversal of 1020121220137 is 7310221210201.

1020121220137 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., 1005870590761 + 14250629376 = 1002931^2 + 119376^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020121220137 - 2¹⁹ = 1020120695849 is a prime.

It is a super-2 number, since 2×1020121220137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1020121220147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510060610068 + 510060610069.

It is an arithmetic number, because the mean of its divisors is an integer number (510060610069).

Almost surely, 2^{1020121220137} is an apocalyptic number.

It is an amenable number.

1020121220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020121220137 is an equidigital number, since it uses as much as digits as its factorization.

1020121220137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 1020121220137 its reverse (7310221210201), we get a palindrome (8330342430338).

The spelling of 1020121220137 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred thirty-seven".