100202101009873 has 2 divisors, whose sum is σ = 100202101009874. Its totient is φ = 100202101009872.

The previous prime is 100202101009811. The next prime is 100202101010009. The reversal of 100202101009873 is 378900101202001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98465472542529 + 1736628467344 = 9922977^2 + 1317812^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100202101009873 is a prime.

It is a super-2 number, since 2×100202101009873² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100202101000873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101050504936 + 50101050504937.

It is an arithmetic number, because the mean of its divisors is an integer number (50101050504937).

Almost surely, 2^{100202101009873} is an apocalyptic number.

It is an amenable number.

100202101009873 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202101009873 is an equidigital number, since it uses as much as digits as its factorization.

100202101009873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 100202101009873 in words is "one hundred trillion, two hundred two billion, one hundred one million, nine thousand, eight hundred seventy-three".