121000022100 has 144 divisors (see below), whose sum is σ = 389427575040. Its totient is φ = 32230598400.

The previous prime is 121000022081. The next prime is 121000022107. The reversal of 121000022100 is 1220000121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000022107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2435104 + ... + 2484296.

It is an arithmetic number, because the mean of its divisors is an integer number (2704358160).

Almost surely, 2^121000022100 is an apocalyptic number.

121000022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194713787520).

121000022100 is an abundant number, since it is smaller than the sum of its proper divisors (268427552940).

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

121000022100 is a wasteful number, since it uses less digits than its factorization.

121000022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50127 (or 50114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121000022100 its reverse (1220000121), we get a palindrome (122220022221).

It can be divided in two parts, 1210000 and 22100, that added together give a square (1232100 = 1110²).

The spelling of 121000022100 in words is "one hundred twenty-one billion, twenty-two thousand, one hundred".