101011120112221 has 32 divisors (see below), whose sum is σ = 111438564549120. Its totient is φ = 90793700928000.

The previous prime is 101011120112173. The next prime is 101011120112251. The reversal of 101011120112221 is 122211021110101.

It is a cyclic number.

It is not a de Polignac number, because 101011120112221 - 2³⁷ = 100873681158749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011120112195 and 101011120112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011120112251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2765364060 + ... + 2765400586.

It is an arithmetic number, because the mean of its divisors is an integer number (3482455142160).

Almost surely, 2^{101011120112221} is an apocalyptic number.

101011120112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011120112221 is a deficient number, since it is larger than the sum of its proper divisors (10427444436899).

101011120112221 is a wasteful number, since it uses less digits than its factorization.

101011120112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40005.

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

Adding to 101011120112221 its reverse (122211021110101), we get a palindrome (223222141222322).

The spelling of 101011120112221 in words is "one hundred one trillion, eleven billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-one".