121000211100 has 144 divisors (see below), whose sum is σ = 394799731200. Its totient is φ = 31785082560.

The previous prime is 121000211081. The next prime is 121000211113. The reversal of 121000211100 is 1112000121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 153540 + ... + 515339.

It is an arithmetic number, because the mean of its divisors is an integer number (2741664800).

Almost surely, 2^121000211100 is an apocalyptic number.

121000211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000211100 is an abundant number, since it is smaller than the sum of its proper divisors (273799520100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121000211100 is a wasteful number, since it uses less digits than its factorization.

121000211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668969 (or 668956 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121000211100 its reverse (1112000121), we get a palindrome (122112211221).

The spelling of 121000211100 in words is "one hundred twenty-one billion, two hundred eleven thousand, one hundred".