101012121221 has 16 divisors (see below), whose sum is σ = 110660292288. Its totient is φ = 91441929600.

The previous prime is 101012121181. The next prime is 101012121233. The reversal of 101012121221 is 122121210101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012121221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012121196 and 101012121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012121251) 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 15 ways as a sum of consecutive naturals, for example, 5049986 + ... + 5069948.

It is an arithmetic number, because the mean of its divisors is an integer number (6916268268).

Almost surely, 2^101012121221 is an apocalyptic number.

101012121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012121221 is a deficient number, since it is larger than the sum of its proper divisors (9648171067).

101012121221 is a wasteful number, since it uses less digits than its factorization.

101012121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21892.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012121221 its reverse (122121210101), we get a palindrome (223133331322).

The spelling of 101012121221 in words is "one hundred one billion, twelve million, one hundred twenty-one thousand, two hundred twenty-one".