2101120011122 has 32 divisors (see below), whose sum is σ = 3499512206400. Its totient is φ = 938104073280.

The previous prime is 2101120011121. The next prime is 2101120011131. The reversal of 2101120011122 is 2211100211012.

It is a super-2 number, since 2×2101120011122² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101120011097 and 2101120011106.

It is not an unprimeable number, because it can be changed into a prime (2101120011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527773 + ... + 2556624.

It is an arithmetic number, because the mean of its divisors is an integer number (109359756450).

Almost surely, 2^{2101120011122} is an apocalyptic number.

2101120011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2101120011122 is a deficient number, since it is larger than the sum of its proper divisors (1398392195278).

2101120011122 is a wasteful number, since it uses less digits than its factorization.

2101120011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084826.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101120011122 its reverse (2211100211012), we get a palindrome (4312220222134).

The spelling of 2101120011122 in words is "two trillion, one hundred one billion, one hundred twenty million, eleven thousand, one hundred twenty-two".