121122221201100 has 432 divisors, whose sum is σ = 446051323763136. Its totient is φ = 26913696768000.

The previous prime is 121122221201083. The next prime is 121122221201143. The reversal of 121122221201100 is 1102122221121.

121122221201100 is a `hidden beast` number, since 1 + 21 + 122 + 221 + 201 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71747922 + ... + 73416678.

Almost surely, 2^{121122221201100} is an apocalyptic number.

121122221201100 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 121122221201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223025661881568).

121122221201100 is an abundant number, since it is smaller than the sum of its proper divisors (324929102562036).

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

121122221201100 is a wasteful number, since it uses less digits than its factorization.

121122221201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669106 (or 1669096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121122221201100 its reverse (1102122221121), we get a palindrome (122224343422221).

The spelling of 121122221201100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred".