101001110200101 has 14 divisors (see below), whose sum is σ = 151432391563110. Its totient is φ = 67334073466248.

The previous prime is 101001110200091. The next prime is 101001110200117. The reversal of 101001110200101 is 101002011100101.

It can be written as a sum of positive squares in only one way, i.e., 77384921796900 + 23616188403201 = 8796870^2 + 4859649^2 .

It is not a de Polignac number, because 101001110200101 - 2³⁸ = 100726232293157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001110200141) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 69273737406 + ... + 69273738863.

It is an arithmetic number, because the mean of its divisors is an integer number (10816599397365).

Almost surely, 2^{101001110200101} is an apocalyptic number.

It is an amenable number.

101001110200101 is a deficient number, since it is larger than the sum of its proper divisors (50431281363009).

101001110200101 is an frugal number, since it uses more digits than its factorization.

101001110200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138547476287 (or 138547476272 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101001110200101 its reverse (101002011100101), we get a palindrome (202003121300202).

The spelling of 101001110200101 in words is "one hundred one trillion, one billion, one hundred ten million, two hundred thousand, one hundred one".