2211101011020 has 48 divisors (see below), whose sum is σ = 6753908544768. Its totient is φ = 536024487360.

The previous prime is 2211101010997. The next prime is 2211101011027. The reversal of 2211101011020 is 201101011122.

2211101011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211101011020² (a number of 25 digits) contains 22 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 = 2211101010987 and 2211101011005.

It is not an unprimeable number, because it can be changed into a prime (2211101011027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1675075864 + ... + 1675077183.

It is an arithmetic number, because the mean of its divisors is an integer number (140706428016).

Almost surely, 2^{2211101011020} is an apocalyptic number.

2211101011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211101011020 is an abundant number, since it is smaller than the sum of its proper divisors (4542807533748).

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

2211101011020 is a wasteful number, since it uses less digits than its factorization.

2211101011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350153070 (or 3350153068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2211101011020 its reverse (201101011122), we get a palindrome (2412202022142).

The spelling of 2211101011020 in words is "two trillion, two hundred eleven billion, one hundred one million, eleven thousand, twenty".