101110010221 has 32 divisors (see below), whose sum is σ = 113173272576. Its totient is φ = 89562312000.

The previous prime is 101110010219. The next prime is 101110010227. The reversal of 101110010221 is 122010011101.

It is a cyclic number.

It is not a de Polignac number, because 101110010221 - 2¹ = 101110010219 is a prime.

It is a super-3 number, since 3×101110010221³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110010198 and 101110010207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110010227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23605146 + ... + 23609428.

It is an arithmetic number, because the mean of its divisors is an integer number (3536664768).

Almost surely, 2^101110010221 is an apocalyptic number.

101110010221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101110010221 is a deficient number, since it is larger than the sum of its proper divisors (12063262355).

101110010221 is a wasteful number, since it uses less digits than its factorization.

101110010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101110010221 its reverse (122010011101), we get a palindrome (223120021322).

The spelling of 101110010221 in words is "one hundred one billion, one hundred ten million, ten thousand, two hundred twenty-one".