101121022121 has 24 divisors (see below), whose sum is σ = 123884712000. Its totient is φ = 82071499104.

The previous prime is 101121022109. The next prime is 101121022133. The reversal of 101121022121 is 121220121101.

It is an interprime number because it is at equal distance from previous prime (101121022109) and next prime (101121022133).

It is not a de Polignac number, because 101121022121 - 2¹⁸ = 101120759977 is a prime.

It is a super-2 number, since 2×101121022121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121022096 and 101121022105.

It is not an unprimeable number, because it can be changed into a prime (101121022141) 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 23 ways as a sum of consecutive naturals, for example, 1871675 + ... + 1924943.

It is an arithmetic number, because the mean of its divisors is an integer number (5161863000).

Almost surely, 2^101121022121 is an apocalyptic number.

It is an amenable number.

101121022121 is a deficient number, since it is larger than the sum of its proper divisors (22763689879).

101121022121 is a wasteful number, since it uses less digits than its factorization.

101121022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55341 (or 55334 counting only the distinct ones).

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

Adding to 101121022121 its reverse (121220121101), we get a palindrome (222341143222).

The spelling of 101121022121 in words is "one hundred one billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty-one".