2120010010110 has 96 divisors (see below), whose sum is σ = 5616672179040. Its totient is φ = 554605519104.

The previous prime is 2120010010109. The next prime is 2120010010259. The reversal of 2120010010110 is 110100100212.

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 = 2120010010092 and 2120010010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53008101 + ... + 53048079.

It is an arithmetic number, because the mean of its divisors is an integer number (58507001865).

Almost surely, 2^{2120010010110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120010010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808336089520).

2120010010110 is an abundant number, since it is smaller than the sum of its proper divisors (3496662168930).

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

2120010010110 is a wasteful number, since it uses less digits than its factorization.

2120010010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51162 (or 51159 counting only the distinct ones).

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

Adding to 2120010010110 its reverse (110100100212), we get a palindrome (2230110110322).

The spelling of 2120010010110 in words is "two trillion, one hundred twenty billion, ten million, ten thousand, one hundred ten".