20121122112102 has 24 divisors (see below), whose sum is σ = 47559015901800. Its totient is φ = 6097309730880.

The previous prime is 20121122112097. The next prime is 20121122112139.

20121122112102 is a `hidden beast` number, since 20 + 1 + 211 + 221 + 1 + 210 + 2 = 666.

20121122112102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50810914227 + ... + 50810914622.

It is an arithmetic number, because the mean of its divisors is an integer number (1981625662575).

Almost surely, 2^{20121122112102} is an apocalyptic number.

20121122112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20121122112102 is an abundant number, since it is smaller than the sum of its proper divisors (27437893789698).

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

20121122112102 is a wasteful number, since it uses less digits than its factorization.

20121122112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101621828868 (or 101621828865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2012112 and 2112102, that added together give a palindrome (4124214).

The spelling of 20121122112102 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred two".