121112112121 has 128 divisors (see below), whose sum is σ = 170709073920. Its totient is φ = 82910822400.

The previous prime is 121112112109. The next prime is 121112112127. The reversal of 121112112121 is 121211211121.

It is not a de Polignac number, because 121112112121 - 2²¹ = 121110014969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121112112095 and 121112112104.

It is not an unprimeable number, because it can be changed into a prime (121112112127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 506745120 + ... + 506745358.

It is an arithmetic number, because the mean of its divisors is an integer number (1333664640).

Almost surely, 2^121112112121 is an apocalyptic number.

121112112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121112112121 is a deficient number, since it is larger than the sum of its proper divisors (49596961799).

121112112121 is a wasteful number, since it uses less digits than its factorization.

121112112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567.

The product of its digits is 16, while the sum is 16.

Adding to 121112112121 its reverse (121211211121), we get a palindrome (242323323242).

It can be divided in two parts, 1211121 and 12121, that multiplied together give a palindrome (14679997641).

The spelling of 121112112121 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".