101100102101 has 2 divisors, whose sum is σ = 101100102102. Its totient is φ = 101100102100.

The previous prime is 101100102079. The next prime is 101100102143. The reversal of 101100102101 is 101201001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68798667025 + 32301435076 = 262295^2 + 179726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100102101 is a prime.

It is a super-2 number, since 2×101100102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100132101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550051050 + 50550051051.

It is an arithmetic number, because the mean of its divisors is an integer number (50550051051).

Almost surely, 2^101100102101 is an apocalyptic number.

It is an amenable number.

101100102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100102101 is an equidigital number, since it uses as much as digits as its factorization.

101100102101 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 8.

Adding to 101100102101 its reverse (101201001101), we get a palindrome (202301103202).

The spelling of 101100102101 in words is "one hundred one billion, one hundred million, one hundred two thousand, one hundred one".