2011122021220 has 48 divisors (see below), whose sum is σ = 4593261840048. Its totient is φ = 735215961600.

The previous prime is 2011122021199. The next prime is 2011122021229. The reversal of 2011122021220 is 221202211102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 57142990116 + 1953979031104 = 239046^2 + 1397848^2 .

It is a super-2 number, since 2×2011122021220² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011122021194 and 2011122021203.

It is not an unprimeable number, because it can be changed into a prime (2011122021229) 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, 38266239 + ... + 38318758.

It is an arithmetic number, because the mean of its divisors is an integer number (95692955001).

Almost surely, 2^{2011122021220} is an apocalyptic number.

2011122021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011122021220 is an abundant number, since it is smaller than the sum of its proper divisors (2582139818828).

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

2011122021220 is a wasteful number, since it uses less digits than its factorization.

2011122021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76585120 (or 76585118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2011122021220 its reverse (221202211102), we get a palindrome (2232324232322).

The spelling of 2011122021220 in words is "two trillion, eleven billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty".