100102001101 has 2 divisors, whose sum is σ = 100102001102. Its totient is φ = 100102001100.

The previous prime is 100102001099. The next prime is 100102001107. The reversal of 100102001101 is 101100201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75051342025 + 25050659076 = 273955^2 + 158274^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102001101 - 2¹ = 100102001099 is a prime.

Together with 100102001099, 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 (100102001107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051000550 + 50051000551.

It is an arithmetic number, because the mean of its divisors is an integer number (50051000551).

Almost surely, 2^100102001101 is an apocalyptic number.

It is an amenable number.

100102001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102001101 is an equidigital number, since it uses as much as digits as its factorization.

100102001101 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 100102001101 its reverse (101100201001), we get a palindrome (201202202102).

The spelling of 100102001101 in words is "one hundred billion, one hundred two million, one thousand, one hundred one".