101022100213 has 4 divisors (see below), whose sum is σ = 104505620940. Its totient is φ = 97538579488.

The previous prime is 101022100187. The next prime is 101022100253. The reversal of 101022100213 is 312001220101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 312001220101 = 42169 ⋅7398829.

It can be written as a sum of positive squares in 2 ways, for example, as 24106288644 + 76915811569 = 155262^2 + 277337^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022100213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101022100193 and 101022100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022100253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1741760320 + ... + 1741760377.

It is an arithmetic number, because the mean of its divisors is an integer number (26126405235).

Almost surely, 2^101022100213 is an apocalyptic number.

It is an amenable number.

101022100213 is a deficient number, since it is larger than the sum of its proper divisors (3483520727).

101022100213 is an equidigital number, since it uses as much as digits as its factorization.

101022100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483520726.

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

Adding to 101022100213 its reverse (312001220101), we get a palindrome (413023320314).

The spelling of 101022100213 in words is "one hundred one billion, twenty-two million, one hundred thousand, two hundred thirteen".