200102200010957 has 2 divisors, whose sum is σ = 200102200010958. Its totient is φ = 200102200010956.

The previous prime is 200102200010897. The next prime is 200102200011017. The reversal of 200102200010957 is 759010002201002.

It is a balanced prime because it is at equal distance from previous prime (200102200010897) and next prime (200102200011017).

It can be written as a sum of positive squares in only one way, i.e., 163917090666121 + 36185109344836 = 12803011^2 + 6015406^2 .

It is a cyclic number.

It is not a de Polignac number, because 200102200010957 - 2²⁶ = 200102132902093 is a prime.

It is a super-2 number, since 2×200102200010957² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200102200010057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100051100005478 + 100051100005479.

It is an arithmetic number, because the mean of its divisors is an integer number (100051100005479).

Almost surely, 2^{200102200010957} is an apocalyptic number.

It is an amenable number.

200102200010957 is a deficient number, since it is larger than the sum of its proper divisors (1).

200102200010957 is an equidigital number, since it uses as much as digits as its factorization.

200102200010957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 200102200010957 its reverse (759010002201002), we get a palindrome (959112202211959).

The spelling of 200102200010957 in words is "two hundred trillion, one hundred two billion, two hundred million, ten thousand, nine hundred fifty-seven".