100001012101 has 2 divisors, whose sum is σ = 100001012102. Its totient is φ = 100001012100.

The previous prime is 100001012099. The next prime is 100001012113. The reversal of 100001012101 is 101210100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91824150625 + 8176861476 = 303025^2 + 90426^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001012101 - 2¹ = 100001012099 is a prime.

Together with 100001012099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001012171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000506050 + 50000506051.

It is an arithmetic number, because the mean of its divisors is an integer number (50000506051).

Almost surely, 2^100001012101 is an apocalyptic number.

It is an amenable number.

100001012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001012101 is an equidigital number, since it uses as much as digits as its factorization.

100001012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100001012101 its reverse (101210100001), we get a palindrome (201211112102).

The spelling of 100001012101 in words is "one hundred billion, one million, twelve thousand, one hundred one".