101221101212121 has 80 divisors (see below), whose sum is σ = 166411524204288. Its totient is φ = 60805032825600.

The previous prime is 101221101212059. The next prime is 101221101212123. The reversal of 101221101212121 is 121212101122101.

It is a happy number.

101221101212121 is a `hidden beast` number, since 10 + 1 + 221 + 101 + 212 + 121 = 666.

It is not a de Polignac number, because 101221101212121 - 2¹⁵ = 101221101179353 is a prime.

It is a super-2 number, since 2×101221101212121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101221101212094 and 101221101212103.

It is not an unprimeable number, because it can be changed into a prime (101221101212123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79074816 + ... + 80344686.

Almost surely, 2^{101221101212121} is an apocalyptic number.

101221101212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221101212121 is a deficient number, since it is larger than the sum of its proper divisors (65190422992167).

101221101212121 is a wasteful number, since it uses less digits than its factorization.

101221101212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270684 (or 1270675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101221101212121 its reverse (121212101122101), we get a palindrome (222433202334222).

The spelling of 101221101212121 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, two hundred twelve thousand, one hundred twenty-one".