2211210010020 has 384 divisors, whose sum is σ = 7198484815872. Its totient is φ = 501218099200.

The previous prime is 2211210009977. The next prime is 2211210010067. The reversal of 2211210010020 is 200100121122.

It is a super-4 number, since 4×2211210010020⁴ (a number of 50 digits) contains 4444 as substring.

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 = 2211210009978 and 2211210010005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2320261864 + ... + 2320262816.

It is an arithmetic number, because the mean of its divisors is an integer number (18746054208).

Almost surely, 2^{2211210010020} is an apocalyptic number.

2211210010020 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 2211210010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599242407936).

2211210010020 is an abundant number, since it is smaller than the sum of its proper divisors (4987274805852).

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

2211210010020 is a wasteful number, since it uses less digits than its factorization.

2211210010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2129 counting only the distinct ones).

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

Adding to 2211210010020 its reverse (200100121122), we get a palindrome (2411310131142).

The spelling of 2211210010020 in words is "two trillion, two hundred eleven billion, two hundred ten million, ten thousand, twenty".