2112101121100 has 72 divisors (see below), whose sum is σ = 4843257042960. Its totient is φ = 797260677120.

The previous prime is 2112101121077. The next prime is 2112101121101. The reversal of 2112101121100 is 11211012112.

It is a happy number.

It is a super-2 number, since 2×2112101121100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112101121101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1674409 + ... + 2651008.

It is an arithmetic number, because the mean of its divisors is an integer number (67267458930).

Almost surely, 2^{2112101121100} is an apocalyptic number.

2112101121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112101121100 is an abundant number, since it is smaller than the sum of its proper divisors (2731155921860).

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

2112101121100 is a wasteful number, since it uses less digits than its factorization.

2112101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325707 (or 4325700 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112101121100 its reverse (11211012112), we get a palindrome (2123312133212).

The spelling of 2112101121100 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twenty-one thousand, one hundred".