101100203112101 has 2 divisors, whose sum is σ = 101100203112102. Its totient is φ = 101100203112100.

The previous prime is 101100203112067. The next prime is 101100203112109. The reversal of 101100203112101 is 101211302001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52490387250625 + 48609815861476 = 7245025^2 + 6972074^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100203112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100203112109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550101556050 + 50550101556051.

It is an arithmetic number, because the mean of its divisors is an integer number (50550101556051).

Almost surely, 2^{101100203112101} is an apocalyptic number.

It is an amenable number.

101100203112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100203112101 is an equidigital number, since it uses as much as digits as its factorization.

101100203112101 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 14.

Adding to 101100203112101 its reverse (101211302001101), we get a palindrome (202311505113202).

The spelling of 101100203112101 in words is "one hundred one trillion, one hundred billion, two hundred three million, one hundred twelve thousand, one hundred one".