102021211110257 has 2 divisors, whose sum is σ = 102021211110258. Its totient is φ = 102021211110256.

The previous prime is 102021211110253. The next prime is 102021211110277. The reversal of 102021211110257 is 752011112120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74529655899136 + 27491555211121 = 8633056^2 + 5243239^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021211110257 - 2² = 102021211110253 is a prime.

It is a super-2 number, since 2×102021211110257² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102021211110253) 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, 51010605555128 + 51010605555129.

It is an arithmetic number, because the mean of its divisors is an integer number (51010605555129).

Almost surely, 2^{102021211110257} is an apocalyptic number.

It is an amenable number.

102021211110257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021211110257 is an equidigital number, since it uses as much as digits as its factorization.

102021211110257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 26.

Adding to 102021211110257 its reverse (752011112120201), we get a palindrome (854032323230458).

The spelling of 102021211110257 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred ten thousand, two hundred fifty-seven".