2114110123020 has 144 divisors (see below), whose sum is σ = 7333810848000. Its totient is φ = 482902374528.

The previous prime is 2114110123003. The next prime is 2114110123043. The reversal of 2114110123020 is 203210114112.

2114110123020 is a `hidden beast` number, since 2 + 1 + 1 + 411 + 0 + 1 + 230 + 20 = 666.

It is a super-2 number, since 2×2114110123020² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2114110122984 and 2114110123002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329079 + ... + 2448401.

It is an arithmetic number, because the mean of its divisors is an integer number (50929242000).

Almost surely, 2^{2114110123020} is an apocalyptic number.

2114110123020 is a gapful number since it is divisible by the number (20) 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 2114110123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666905424000).

2114110123020 is an abundant number, since it is smaller than the sum of its proper divisors (5219700724980).

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

2114110123020 is a wasteful number, since it uses less digits than its factorization.

2114110123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120844 (or 1120839 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2114110123020 its reverse (203210114112), we get a palindrome (2317320237132).

The spelling of 2114110123020 in words is "two trillion, one hundred fourteen billion, one hundred ten million, one hundred twenty-three thousand, twenty".