2011010022120 has 128 divisors (see below), whose sum is σ = 6607709498880. Its totient is φ = 485575200000.

The previous prime is 2011010022067. The next prime is 2011010022121. The reversal of 2011010022120 is 212200101102.

It is a super-2 number, since 2×2011010022120² (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 = 2011010022096 and 2011010022105.

It is not an unprimeable number, because it can be changed into a prime (2011010022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2703526 + ... + 3366165.

It is an arithmetic number, because the mean of its divisors is an integer number (51622730460).

Almost surely, 2^{2011010022120} is an apocalyptic number.

2011010022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011010022120 is an abundant number, since it is smaller than the sum of its proper divisors (4596699476760).

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

2011010022120 is a wasteful number, since it uses less digits than its factorization.

2011010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069967 (or 6069963 counting only the distinct ones).

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

Adding to 2011010022120 its reverse (212200101102), we get a palindrome (2223210123222).

The spelling of 2011010022120 in words is "two trillion, eleven billion, ten million, twenty-two thousand, one hundred twenty".