2121322013010 has 384 divisors, whose sum is σ = 6031314432000. Its totient is φ = 515872304640.

The previous prime is 2121322013009. The next prime is 2121322013017. The reversal of 2121322013010 is 103102231212.

2121322013010 is a `hidden beast` number, since 21 + 21 + 322 + 0 + 1 + 301 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2121322013017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 782485555 + ... + 782488265.

It is an arithmetic number, because the mean of its divisors is an integer number (15706548000).

Almost surely, 2^{2121322013010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121322013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015657216000).

2121322013010 is an abundant number, since it is smaller than the sum of its proper divisors (3909992418990).

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

2121322013010 is a wasteful number, since it uses less digits than its factorization.

2121322013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121322013010 its reverse (103102231212), we get a palindrome (2224424244222).

The spelling of 2121322013010 in words is "two trillion, one hundred twenty-one billion, three hundred twenty-two million, thirteen thousand, ten".