101261243201 has 2 divisors, whose sum is σ = 101261243202. Its totient is φ = 101261243200.

The previous prime is 101261243197. The next prime is 101261243249. The reversal of 101261243201 is 102342162101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101260786225 + 456976 = 318215^2 + 676^2 .

It is an emirp because it is prime and its reverse (102342162101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101261243201 - 2² = 101261243197 is a prime.

It is a super-2 number, since 2×101261243201² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101261243401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50630621600 + 50630621601.

It is an arithmetic number, because the mean of its divisors is an integer number (50630621601).

Almost surely, 2^101261243201 is an apocalyptic number.

It is an amenable number.

101261243201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101261243201 is an equidigital number, since it uses as much as digits as its factorization.

101261243201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 101261243201 in words is "one hundred one billion, two hundred sixty-one million, two hundred forty-three thousand, two hundred one".