101040100101 has 6 divisors (see below), whose sum is σ = 145946811270. Its totient is φ = 67360066728.

The previous prime is 101040100087. The next prime is 101040100103. The reversal of 101040100101 is 101001040101.

It can be written as a sum of positive squares in only one way, i.e., 100609496100 + 430604001 = 317190^2 + 20751^2 .

It is not a de Polignac number, because 101040100101 - 2¹³ = 101040091909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11226677789 = 101040100101 / (1 + 0 + 1 + 0 + 4 + 0 + 1 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040100103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5613338886 + ... + 5613338903.

It is an arithmetic number, because the mean of its divisors is an integer number (24324468545).

Almost surely, 2^101040100101 is an apocalyptic number.

It is an amenable number.

101040100101 is a deficient number, since it is larger than the sum of its proper divisors (44906711169).

101040100101 is a wasteful number, since it uses less digits than its factorization.

101040100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226677795 (or 11226677792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101040100101 its reverse (101001040101), we get a palindrome (202041140202).

The spelling of 101040100101 in words is "one hundred one billion, forty million, one hundred thousand, one hundred one".