121012112100 has 216 divisors, whose sum is σ = 385790759200. Its totient is φ = 29264716800.

The previous prime is 121012112063. The next prime is 121012112107. The reversal of 121012112100 is 1211210121.

121012112100 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 (12).

It is not an unprimeable number, because it can be changed into a prime (121012112107) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15714051 + ... + 15721749.

Almost surely, 2^121012112100 is an apocalyptic number.

121012112100 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 121012112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192895379600).

121012112100 is an abundant number, since it is smaller than the sum of its proper divisors (264778647100).

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

121012112100 is a wasteful number, since it uses less digits than its factorization.

121012112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121012112100 its reverse (1211210121), we get a palindrome (122223322221).

It can be divided in two parts, 1210121 and 12100, that added together give a palindrome (1222221).

The spelling of 121012112100 in words is "one hundred twenty-one billion, twelve million, one hundred twelve thousand, one hundred".