312021013022101 has 8 divisors (see below), whose sum is σ = 314384775669080. Its totient is φ = 309665956684032.

The previous prime is 312021013022087. The next prime is 312021013022119. The reversal of 312021013022101 is 101220310120213.

It can be written as a sum of positive squares in 4 ways, for example, as 4685016960100 + 307335996062001 = 2164490^2 + 17531001^2 .

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 312021013022101 - 2⁷ = 312021013021973 is a prime.

It is a super-2 number, since 2×312021013022101² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312021013022141) 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, 2176505280 + ... + 2176648633.

It is an arithmetic number, because the mean of its divisors is an integer number (39298096958635).

Almost surely, 2^{312021013022101} is an apocalyptic number.

It is an amenable number.

312021013022101 is a deficient number, since it is larger than the sum of its proper divisors (2363762646979).

312021013022101 is a wasteful number, since it uses less digits than its factorization.

312021013022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353154455.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312021013022101 its reverse (101220310120213), we get a palindrome (413241323142314).

The spelling of 312021013022101 in words is "three hundred twelve trillion, twenty-one billion, thirteen million, twenty-two thousand, one hundred one".