1010102112161 has 2 divisors, whose sum is σ = 1010102112162. Its totient is φ = 1010102112160.

The previous prime is 1010102112143. The next prime is 1010102112167. The reversal of 1010102112161 is 1612112010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000290021025 + 9812091136 = 1000145^2 + 99056^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010102112161 - 2²⁶ = 1010035003297 is a prime.

It is a super-2 number, since 2×1010102112161² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010102112167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505051056080 + 505051056081.

It is an arithmetic number, because the mean of its divisors is an integer number (505051056081).

Almost surely, 2^{1010102112161} is an apocalyptic number.

It is an amenable number.

1010102112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010102112161 is an equidigital number, since it uses as much as digits as its factorization.

1010102112161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1010102112161 its reverse (1612112010101), we get a palindrome (2622214122262).

The spelling of 1010102112161 in words is "one trillion, ten billion, one hundred two million, one hundred twelve thousand, one hundred sixty-one".