2101022011020 has 192 divisors, whose sum is σ = 6246645713280. Its totient is φ = 525816496128.

The previous prime is 2101022011019. The next prime is 2101022011057. The reversal of 2101022011020 is 201102201012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101022010987 and 2101022011005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710523382 + ... + 710526338.

It is an arithmetic number, because the mean of its divisors is an integer number (32534613090).

Almost surely, 2^{2101022011020} is an apocalyptic number.

2101022011020 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 2101022011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123322856640).

2101022011020 is an abundant number, since it is smaller than the sum of its proper divisors (4145623702260).

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

2101022011020 is a wasteful number, since it uses less digits than its factorization.

2101022011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101022011020 its reverse (201102201012), we get a palindrome (2302124212032).

The spelling of 2101022011020 in words is "two trillion, one hundred one billion, twenty-two million, eleven thousand, twenty".