121221201201100 has 432 divisors, whose sum is σ = 356007298838464. Its totient is φ = 34862557593600.

The previous prime is 121221201201097. The next prime is 121221201201103. The reversal of 121221201201100 is 1102102122121.

It is an interprime number because it is at equal distance from previous prime (121221201201097) and next prime (121221201201103).

It is not an unprimeable number, because it can be changed into a prime (121221201201103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2855131072 + ... + 2855173528.

Almost surely, 2^{121221201201100} is an apocalyptic number.

121221201201100 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 121221201201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178003649419232).

121221201201100 is an abundant number, since it is smaller than the sum of its proper divisors (234786097637364).

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

121221201201100 is a wasteful number, since it uses less digits than its factorization.

121221201201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45106 (or 45088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121221201201100 its reverse (1102102122121), we get a palindrome (122323303323221).

The spelling of 121221201201100 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred one million, two hundred one thousand, one hundred".