121101210000 has 400 divisors, whose sum is σ = 453276405120. Its totient is φ = 30888000000.

The previous prime is 121101209993. The next prime is 121101210001. The reversal of 121101210000 is 12101121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121101210001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6200250 + ... + 6219750.

Almost surely, 2^121101210000 is an apocalyptic number.

121101210000 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 121101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226638202560).

121101210000 is an abundant number, since it is smaller than the sum of its proper divisors (332175195120).

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

121101210000 is a wasteful number, since it uses less digits than its factorization.

121101210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19561 (or 19534 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121101210000 its reverse (12101121), we get a palindrome (121113311121).

The spelling of 121101210000 in words is "one hundred twenty-one billion, one hundred one million, two hundred ten thousand".