2111211012020 has 192 divisors, whose sum is σ = 5146175462400. Its totient is φ = 719024947200.

The previous prime is 2111211012019. The next prime is 2111211012047. The reversal of 2111211012020 is 202101121112.

It is a junction number, because it is equal to n+sod(n) for n = 2111211011986 and 2111211012004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 723759602 + ... + 723762518.

It is an arithmetic number, because the mean of its divisors is an integer number (26802997200).

Almost surely, 2^{2111211012020} is an apocalyptic number.

2111211012020 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 2111211012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573087731200).

2111211012020 is an abundant number, since it is smaller than the sum of its proper divisors (3034964450380).

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

2111211012020 is a wasteful number, since it uses less digits than its factorization.

2111211012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2111211012020 its reverse (202101121112), we get a palindrome (2313312133132).

The spelling of 2111211012020 in words is "two trillion, one hundred eleven billion, two hundred eleven million, twelve thousand, twenty".