121122102101 has 96 divisors (see below), whose sum is σ = 172658304000. Its totient is φ = 82280240640.

The previous prime is 121122102071. The next prime is 121122102121. The reversal of 121122102101 is 101201221121.

It is not a de Polignac number, because 121122102101 - 2³⁰ = 120048360277 is a prime.

It is a super-2 number, since 2×121122102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115463825 + ... + 115464873.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524000).

Almost surely, 2^121122102101 is an apocalyptic number.

121122102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122102101 is a deficient number, since it is larger than the sum of its proper divisors (51536201899).

121122102101 is a wasteful number, since it uses less digits than its factorization.

121122102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1566 counting only the distinct ones).

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

Adding to 121122102101 its reverse (101201221121), we get a palindrome (222323323222).

The spelling of 121122102101 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred one".