121102010201100 has 288 divisors, whose sum is σ = 369572145868800. Its totient is φ = 30574567296000.

The previous prime is 121102010201033. The next prime is 121102010201129. The reversal of 121102010201100 is 1102010201121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171670105 + ... + 172374095.

It is an arithmetic number, because the mean of its divisors is an integer number (1283236617600).

Almost surely, 2^{121102010201100} is an apocalyptic number.

121102010201100 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 121102010201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184786072934400).

121102010201100 is an abundant number, since it is smaller than the sum of its proper divisors (248470135667700).

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

121102010201100 is a wasteful number, since it uses less digits than its factorization.

121102010201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704441 (or 704434 counting only the distinct ones).

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

Adding to 121102010201100 its reverse (1102010201121), we get a palindrome (122204020402221).

The spelling of 121102010201100 in words is "one hundred twenty-one trillion, one hundred two billion, ten million, two hundred one thousand, one hundred".