121010000 has 50 divisors (see below), whose sum is σ = 293001522. Its totient is φ = 48400000.

The previous prime is 121009997. The next prime is 121010033. The reversal of 121010000 is 10121.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 10086976 + 110923024 = 3176^2 + 10532^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3950 + ... + 16050.

Almost surely, 2^121010000 is an apocalyptic number.

121010000 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 121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146500761).

121010000 is an abundant number, since it is smaller than the sum of its proper divisors (171991522).

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

121010000 is an equidigital number, since it uses as much as digits as its factorization.

121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 121010000 is about 11000.4545360635. The cubic root of 121010000 is about 494.6223695348.

Adding to 121010000 its reverse (10121), we get a palindrome (121020121).

The spelling of 121010000 in words is "one hundred twenty-one million, ten thousand".