121001112100 has 144 divisors (see below), whose sum is σ = 288331295616. Its totient is φ = 43711488000.

The previous prime is 121001112083. The next prime is 121001112101. The reversal of 121001112100 is 1211100121.

121001112100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121001112101) 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, 197391394 + ... + 197392006.

It is an arithmetic number, because the mean of its divisors is an integer number (2002300664).

Almost surely, 2^121001112100 is an apocalyptic number.

121001112100 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 121001112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144165647808).

121001112100 is an abundant number, since it is smaller than the sum of its proper divisors (167330183516).

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

121001112100 is a wasteful number, since it uses less digits than its factorization.

121001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121001112100 its reverse (1211100121), we get a palindrome (122212212221).

The spelling of 121001112100 in words is "one hundred twenty-one billion, one million, one hundred twelve thousand, one hundred".