101003110101 has 6 divisors (see below), whose sum is σ = 145893381270. Its totient is φ = 67335406728.

The previous prime is 101003110063. The next prime is 101003110111. The reversal of 101003110101 is 101011300101.

It can be written as a sum of positive squares in only one way, i.e., 95558883876 + 5444226225 = 309126^2 + 73785^2 .

It is not a de Polignac number, because 101003110101 - 2⁷ = 101003109973 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: 11222567789 = 101003110101 / (1 + 0 + 1 + 0 + 0 + 3 + 1 + 1 + 0 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003110111) 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, 5611283886 + ... + 5611283903.

It is an arithmetic number, because the mean of its divisors is an integer number (24315563545).

Almost surely, 2^101003110101 is an apocalyptic number.

It is an amenable number.

101003110101 is a deficient number, since it is larger than the sum of its proper divisors (44890271169).

101003110101 is a wasteful number, since it uses less digits than its factorization.

101003110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222567795 (or 11222567792 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101003110101 its reverse (101011300101), we get a palindrome (202014410202).

The spelling of 101003110101 in words is "one hundred one billion, three million, one hundred ten thousand, one hundred one".