2002100101957 has 2 divisors, whose sum is σ = 2002100101958. Its totient is φ = 2002100101956.

The previous prime is 2002100101871. The next prime is 2002100102033. The reversal of 2002100101957 is 7591010012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2001661869601 + 438232356 = 1414801^2 + 20934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002100101957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002100191957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001050050978 + 1001050050979.

It is an arithmetic number, because the mean of its divisors is an integer number (1001050050979).

Almost surely, 2^{2002100101957} is an apocalyptic number.

It is an amenable number.

2002100101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002100101957 is an equidigital number, since it uses as much as digits as its factorization.

2002100101957 is an evil number, because the sum of its binary digits is even.

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

Adding to 2002100101957 its reverse (7591010012002), we get a palindrome (9593110113959).

The spelling of 2002100101957 in words is "two trillion, two billion, one hundred million, one hundred one thousand, nine hundred fifty-seven".