2121133121010 has 192 divisors, whose sum is σ = 5900569234560. Its totient is φ = 526794762240.

The previous prime is 2121133120987. The next prime is 2121133121021. The reversal of 2121133121010 is 101213311212.

2121133121010 is a `hidden beast` number, since 2 + 121 + 1 + 331 + 210 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 135242629 + ... + 135258311.

It is an arithmetic number, because the mean of its divisors is an integer number (30732131430).

Almost surely, 2^{2121133121010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121133121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950284617280).

2121133121010 is an abundant number, since it is smaller than the sum of its proper divisors (3779436113550).

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

2121133121010 is a wasteful number, since it uses less digits than its factorization.

2121133121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16633 (or 16630 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2121133121010 its reverse (101213311212), we get a palindrome (2222346432222).

The spelling of 2121133121010 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred twenty-one thousand, ten".