10020012100957 has 2 divisors, whose sum is σ = 10020012100958. Its totient is φ = 10020012100956.

The previous prime is 10020012100921. The next prime is 10020012100961. The reversal of 10020012100957 is 75900121002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8677625699961 + 1342386400996 = 2945781^2 + 1158614^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020012100957 - 2¹⁵ = 10020012068189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020012100057) 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, 5010006050478 + 5010006050479.

It is an arithmetic number, because the mean of its divisors is an integer number (5010006050479).

Almost surely, 2^{10020012100957} is an apocalyptic number.

It is an amenable number.

10020012100957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020012100957 is an equidigital number, since it uses as much as digits as its factorization.

10020012100957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 10020012100957 its reverse (75900121002001), we get a palindrome (85920133102958).

The spelling of 10020012100957 in words is "ten trillion, twenty billion, twelve million, one hundred thousand, nine hundred fifty-seven".