121100921000 has 192 divisors, whose sum is σ = 295467896880. Its totient is φ = 46444800000.

The previous prime is 121100920943. The next prime is 121100921023. The reversal of 121100921000 is 129001121.

It can be written as a sum of positive squares in 24 ways, for example, as 107186831236 + 13914089764 = 327394^2 + 117958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121100921000.

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, 102540410 + ... + 102541590.

Almost surely, 2^121100921000 is an apocalyptic number.

121100921000 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 121100921000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147733948440).

121100921000 is an abundant number, since it is smaller than the sum of its proper divisors (174366975880).

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

121100921000 is a wasteful number, since it uses less digits than its factorization.

121100921000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 121100921000 its reverse (129001121), we get a palindrome (121229922121).

The spelling of 121100921000 in words is "one hundred twenty-one billion, one hundred million, nine hundred twenty-one thousand".