2121000010110 has 80 divisors (see below), whose sum is σ = 5706063792000. Its totient is φ = 565309381824.

The previous prime is 2121000010069. The next prime is 2121000010147. The reversal of 2121000010110 is 110100001212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2121000010092 and 2121000010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 906931 + ... + 2250449.

It is an arithmetic number, because the mean of its divisors is an integer number (71325797400).

Almost surely, 2^{2121000010110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121000010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853031896000).

2121000010110 is an abundant number, since it is smaller than the sum of its proper divisors (3585063781890).

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

2121000010110 is a wasteful number, since it uses less digits than its factorization.

2121000010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345487 (or 1345478 counting only the distinct ones).

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

Adding to 2121000010110 its reverse (110100001212), we get a palindrome (2231100011322).

The spelling of 2121000010110 in words is "two trillion, one hundred twenty-one billion, ten thousand, one hundred ten".