10102001213 has 8 divisors (see below), whose sum is σ = 10188526656. Its totient is φ = 10015840800.

The previous prime is 10102001191. The next prime is 10102001227. The reversal of 10102001213 is 31210020101.

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 10102001213 - 2¹⁰ = 10102000189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102001194 and 10102001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001813) 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, 35528 + ... + 146513.

It is an arithmetic number, because the mean of its divisors is an integer number (1273565832).

Almost surely, 2^10102001213 is an apocalyptic number.

It is an amenable number.

10102001213 is a deficient number, since it is larger than the sum of its proper divisors (86525443).

10102001213 is a wasteful number, since it uses less digits than its factorization.

10102001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182515.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10102001213 its reverse (31210020101), we get a palindrome (41312021314).

The spelling of 10102001213 in words is "ten billion, one hundred two million, one thousand, two hundred thirteen".