10100022000213 has 32 divisors (see below), whose sum is σ = 14767246166400. Its totient is φ = 6111811915776.

The previous prime is 10100022000197. The next prime is 10100022000227. The reversal of 10100022000213 is 31200022000101.

10100022000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100022000213 - 2⁴ = 10100022000197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022000253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2560948 + ... + 5172861.

It is an arithmetic number, because the mean of its divisors is an integer number (461476442700).

Almost surely, 2^{10100022000213} is an apocalyptic number.

It is an amenable number.

10100022000213 is a deficient number, since it is larger than the sum of its proper divisors (4667224166187).

10100022000213 is a wasteful number, since it uses less digits than its factorization.

10100022000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734741.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10100022000213 its reverse (31200022000101), we get a palindrome (41300044000314).

The spelling of 10100022000213 in words is "ten trillion, one hundred billion, twenty-two million, two hundred thirteen", and thus it is an aban number.