10100120020221 has 64 divisors (see below), whose sum is σ = 17437668802560. Its totient is φ = 5048143930560.

The previous prime is 10100120020183. The next prime is 10100120020229. The reversal of 10100120020221 is 12202002100101.

It is not a de Polignac number, because 10100120020221 - 2¹¹ = 10100120018173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100120020197 and 10100120020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100120020229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7243221 + ... + 8524346.

It is an arithmetic number, because the mean of its divisors is an integer number (272463575040).

Almost surely, 2^{10100120020221} is an apocalyptic number.

10100120020221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100120020221 is a deficient number, since it is larger than the sum of its proper divisors (7337548782339).

10100120020221 is a wasteful number, since it uses less digits than its factorization.

10100120020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15767694.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100120020221 its reverse (12202002100101), we get a palindrome (22302122120322).

The spelling of 10100120020221 in words is "ten trillion, one hundred billion, one hundred twenty million, twenty thousand, two hundred twenty-one".