103011020012057 has 2 divisors, whose sum is σ = 103011020012058. Its totient is φ = 103011020012056.

The previous prime is 103011020012003. The next prime is 103011020012077. The reversal of 103011020012057 is 750210020110301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102700975954201 + 310044057856 = 10134149^2 + 556816^2 .

It is a cyclic number.

It is not a de Polignac number, because 103011020012057 - 2¹⁴ = 103011019995673 is a prime.

It is a super-3 number, since 3×103011020012057³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (103011020012077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51505510006028 + 51505510006029.

It is an arithmetic number, because the mean of its divisors is an integer number (51505510006029).

Almost surely, 2^{103011020012057} is an apocalyptic number.

It is an amenable number.

103011020012057 is a deficient number, since it is larger than the sum of its proper divisors (1).

103011020012057 is an equidigital number, since it uses as much as digits as its factorization.

103011020012057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

Adding to 103011020012057 its reverse (750210020110301), we get a palindrome (853221040122358).

The spelling of 103011020012057 in words is "one hundred three trillion, eleven billion, twenty million, twelve thousand, fifty-seven".