101022121212221 has 8 divisors (see below), whose sum is σ = 110327456433504. Its totient is φ = 91737036994320.

The previous prime is 101022121212197. The next prime is 101022121212263. The reversal of 101022121212221 is 122212121220101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101022121212221 - 2²² = 101022117017917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101022121212193 and 101022121212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022121212281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5062740410 + ... + 5062760363.

It is an arithmetic number, because the mean of its divisors is an integer number (13790932054188).

Almost surely, 2^{101022121212221} is an apocalyptic number.

101022121212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022121212221 is a deficient number, since it is larger than the sum of its proper divisors (9305335221283).

101022121212221 is a wasteful number, since it uses less digits than its factorization.

101022121212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125501691.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101022121212221 its reverse (122212121220101), we get a palindrome (223234242432322).

The spelling of 101022121212221 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty-one".