1023100101 has 12 divisors (see below), whose sum is σ = 1513855980. Its totient is φ = 665430720.

The previous prime is 1023100093. The next prime is 1023100129. The reversal of 1023100101 is 1010013201.

It can be written as a sum of positive squares in 2 ways, for example, as 22896225 + 1000203876 = 4785^2 + 31626^2 .

It is not a de Polignac number, because 1023100101 - 2³ = 1023100093 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 (1023107101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1385946 + ... + 1386683.

It is an arithmetic number, because the mean of its divisors is an integer number (126154665).

Almost surely, 2^1023100101 is an apocalyptic number.

It is an amenable number.

1023100101 is a deficient number, since it is larger than the sum of its proper divisors (490755879).

1023100101 is a wasteful number, since it uses less digits than its factorization.

1023100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772676 (or 2772673 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1023100101 is about 31985.9359875555. The cubic root of 1023100101 is about 1007.6414925236.

Adding to 1023100101 its reverse (1010013201), we get a palindrome (2033113302).

It can be divided in two parts, 1023100 and 101, that added together give a palindrome (1023201).

The spelling of 1023100101 in words is "one billion, twenty-three million, one hundred thousand, one hundred one".