121021121132300 has 144 divisors (see below), whose sum is σ = 278289673654272. Its totient is φ = 45612567244800.

The previous prime is 121021121132257. The next prime is 121021121132381. The reversal of 121021121132300 is 3231121120121.

It is a super-3 number, since 3×121021121132300³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25968239 + ... + 30271961.

Almost surely, 2^{121021121132300} is an apocalyptic number.

121021121132300 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 121021121132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139144836827136).

121021121132300 is an abundant number, since it is smaller than the sum of its proper divisors (157268552521972).

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

121021121132300 is a wasteful number, since it uses less digits than its factorization.

121021121132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304008 (or 4304001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 121021121132300 its reverse (3231121120121), we get a palindrome (124252242252421).

The spelling of 121021121132300 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred".