10100122020221 has 8 divisors (see below), whose sum is σ = 10201241002584. Its totient is φ = 9999024955200.

The previous prime is 10100122020181. The next prime is 10100122020283. The reversal of 10100122020221 is 12202022100101.

It can be written as a sum of positive squares in 4 ways, for example, as 4303608336196 + 5796513684025 = 2074514^2 + 2407595^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100122020221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100122020196 and 10100122020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10180122020221) 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, 4552286 + ... + 6397151.

It is an arithmetic number, because the mean of its divisors is an integer number (1275155125323).

Almost surely, 2^{10100122020221} is an apocalyptic number.

It is an amenable number.

10100122020221 is a deficient number, since it is larger than the sum of its proper divisors (101118982363).

10100122020221 is a wasteful number, since it uses less digits than its factorization.

10100122020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10958671.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10100122020221 its reverse (12202022100101), we get a palindrome (22302144120322).

The spelling of 10100122020221 in words is "ten trillion, one hundred billion, one hundred twenty-two million, twenty thousand, two hundred twenty-one".