101210100120213 has 64 divisors (see below), whose sum is σ = 163713971404800. Its totient is φ = 54293436288000.

The previous prime is 101210100120133. The next prime is 101210100120221. The reversal of 101210100120213 is 312021001012101.

It is not a de Polignac number, because 101210100120213 - 2¹² = 101210100116117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101210100120192 and 101210100120201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210100120313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341836963 + ... + 342132911.

It is an arithmetic number, because the mean of its divisors is an integer number (2558030803200).

Almost surely, 2^{101210100120213} is an apocalyptic number.

It is an amenable number.

101210100120213 is a deficient number, since it is larger than the sum of its proper divisors (62503871284587).

101210100120213 is a wasteful number, since it uses less digits than its factorization.

101210100120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298418.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101210100120213 its reverse (312021001012101), we get a palindrome (413231101132314).

The spelling of 101210100120213 in words is "one hundred one trillion, two hundred ten billion, one hundred million, one hundred twenty thousand, two hundred thirteen".