101102202212121 has 24 divisors (see below), whose sum is σ = 159406662070656. Its totient is φ = 61237869251040.

The previous prime is 101102202212051. The next prime is 101102202212153. The reversal of 101102202212121 is 121212202201101.

101102202212121 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 220 + 221 + 212 + 1 = 666.

It is not a de Polignac number, because 101102202212121 - 2⁹ = 101102202211609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102202212094 and 101102202212103.

It is not an unprimeable number, because it can be changed into a prime (101102202212821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301437345 + ... + 301772558.

It is an arithmetic number, because the mean of its divisors is an integer number (6641944252944).

Almost surely, 2^{101102202212121} is an apocalyptic number.

101102202212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102202212121 is a deficient number, since it is larger than the sum of its proper divisors (58304459858535).

101102202212121 is a wasteful number, since it uses less digits than its factorization.

101102202212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603211613 (or 603211610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101102202212121 its reverse (121212202201101), we get a palindrome (222314404413222).

The spelling of 101102202212121 in words is "one hundred one trillion, one hundred two billion, two hundred two million, two hundred twelve thousand, one hundred twenty-one".