101212110210213 has 48 divisors (see below), whose sum is σ = 147235437825840. Its totient is φ = 66995756040192.

The previous prime is 101212110210121. The next prime is 101212110210247. The reversal of 101212110210213 is 312012011212101.

It is a happy number.

101212110210213 is a `hidden beast` number, since 10 + 1 + 21 + 211 + 0 + 210 + 213 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1336111745409 + 99875998464804 = 1155903^2 + 9993798^2 .

It is not a de Polignac number, because 101212110210213 - 2⁸ = 101212110209957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212180210213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4079640553 + ... + 4079665361.

It is an arithmetic number, because the mean of its divisors is an integer number (3067404954705).

Almost surely, 2^{101212110210213} is an apocalyptic number.

It is an amenable number.

101212110210213 is a deficient number, since it is larger than the sum of its proper divisors (46023327615627).

101212110210213 is a wasteful number, since it uses less digits than its factorization.

101212110210213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28358 (or 28355 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101212110210213 its reverse (312012011212101), we get a palindrome (413224121422314).

The spelling of 101212110210213 in words is "one hundred one trillion, two hundred twelve billion, one hundred ten million, two hundred ten thousand, two hundred thirteen".