10101013110221 has 16 divisors (see below), whose sum is σ = 11600009870400. Its totient is φ = 8698866854400.

The previous prime is 10101013110169. The next prime is 10101013110229. The reversal of 10101013110221 is 12201131010101.

It is not a de Polignac number, because 10101013110221 - 2¹⁸ = 10101012848077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101013110196 and 10101013110205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101013110229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627331 + ... + 4780191.

It is an arithmetic number, because the mean of its divisors is an integer number (725000616900).

Almost surely, 2^{10101013110221} is an apocalyptic number.

10101013110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101013110221 is a deficient number, since it is larger than the sum of its proper divisors (1498996760179).

10101013110221 is a wasteful number, since it uses less digits than its factorization.

10101013110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168220.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10101013110221 its reverse (12201131010101), we get a palindrome (22302144120322).

It can be divided in two parts, 101010 and 13110221, that added together give a palindrome (13211231).

The spelling of 10101013110221 in words is "ten trillion, one hundred one billion, thirteen million, one hundred ten thousand, two hundred twenty-one".