200102010003101 has 2 divisors, whose sum is σ = 200102010003102. Its totient is φ = 200102010003100.

The previous prime is 200102010003089. The next prime is 200102010003127. The reversal of 200102010003101 is 101300010201002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184260806032900 + 15841203970201 = 13574270^2 + 3980101^2 .

It is a cyclic number.

It is not a de Polignac number, because 200102010003101 - 2⁶ = 200102010003037 is a prime.

It is a super-2 number, since 2×200102010003101² (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 (200102010003151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100051005001550 + 100051005001551.

It is an arithmetic number, because the mean of its divisors is an integer number (100051005001551).

Almost surely, 2^{200102010003101} is an apocalyptic number.

It is an amenable number.

200102010003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200102010003101 is an equidigital number, since it uses as much as digits as its factorization.

200102010003101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 200102010003101 its reverse (101300010201002), we get a palindrome (301402020204103).

The spelling of 200102010003101 in words is "two hundred trillion, one hundred two billion, ten million, three thousand, one hundred one".