10202123101 has 8 divisors (see below), whose sum is σ = 10301098808. Its totient is φ = 10103616000.

The previous prime is 10202123083. The next prime is 10202123123. The reversal of 10202123101 is 10132120201.

It can be written as a sum of positive squares in 4 ways, for example, as 1970916025 + 8231207076 = 44395^2 + 90726^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10202123101 - 2¹¹ = 10202121053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202123401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73320 + ... + 160561.

It is an arithmetic number, because the mean of its divisors is an integer number (1287637351).

Almost surely, 2^10202123101 is an apocalyptic number.

It is an amenable number.

10202123101 is a deficient number, since it is larger than the sum of its proper divisors (98975707).

10202123101 is a wasteful number, since it uses less digits than its factorization.

10202123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234303.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10202123101 its reverse (10132120201), we get a palindrome (20334243302).

The spelling of 10202123101 in words is "ten billion, two hundred two million, one hundred twenty-three thousand, one hundred one".