10002123100021 has 8 divisors (see below), whose sum is σ = 10866840347160. Its totient is φ = 9151023447552.

The previous prime is 10002123100019. The next prime is 10002123100027. The reversal of 10002123100021 is 12000132120001.

It can be written as a sum of positive squares in 4 ways, for example, as 683451077521 + 9318672022500 = 826711^2 + 3052650^2 .

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 10002123100021 - 2¹ = 10002123100019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002123099974 and 10002123100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002123100027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3404397136 + ... + 3404400073.

It is an arithmetic number, because the mean of its divisors is an integer number (1358355043395).

Almost surely, 2^{10002123100021} is an apocalyptic number.

It is an amenable number.

10002123100021 is a deficient number, since it is larger than the sum of its proper divisors (864717247139).

10002123100021 is a wasteful number, since it uses less digits than its factorization.

10002123100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808797335.

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

Adding to 10002123100021 its reverse (12000132120001), we get a palindrome (22002255220022).

The spelling of 10002123100021 in words is "ten trillion, two billion, one hundred twenty-three million, one hundred thousand, twenty-one".