10021314122101 has 8 divisors (see below), whose sum is σ = 10317846763224. Its totient is φ = 9727262926080.

The previous prime is 10021314122081. The next prime is 10021314122107. The reversal of 10021314122101 is 10122141312001.

10021314122101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1439402462001 + 8581911660100 = 1199751^2 + 2929490^2 .

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 10021314122101 - 2⁹ = 10021314121589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021314122107) 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, 620353080 + ... + 620369233.

It is an arithmetic number, because the mean of its divisors is an integer number (1289730845403).

Almost surely, 2^{10021314122101} is an apocalyptic number.

It is an amenable number.

10021314122101 is a deficient number, since it is larger than the sum of its proper divisors (296532641123).

10021314122101 is a wasteful number, since it uses less digits than its factorization.

10021314122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240722551.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10021314122101 its reverse (10122141312001), we get a palindrome (20143455434102).

The spelling of 10021314122101 in words is "ten trillion, twenty-one billion, three hundred fourteen million, one hundred twenty-two thousand, one hundred one".