2202100011020 has 288 divisors, whose sum is σ = 6286001863680. Its totient is φ = 631538519040.

The previous prime is 2202100011011. The next prime is 2202100011053. The reversal of 2202100011020 is 201100012022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2202100010992 and 2202100011010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10232930 + ... + 10445910.

It is an arithmetic number, because the mean of its divisors is an integer number (21826395360).

Almost surely, 2^{2202100011020} is an apocalyptic number.

2202100011020 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 2202100011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143000931840).

2202100011020 is an abundant number, since it is smaller than the sum of its proper divisors (4083901852660).

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

2202100011020 is a wasteful number, since it uses less digits than its factorization.

2202100011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213065 (or 213050 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2202100011020 its reverse (201100012022), we get a palindrome (2403200023042).

The spelling of 2202100011020 in words is "two trillion, two hundred two billion, one hundred million, eleven thousand, twenty".