20112122121102 has 144 divisors (see below), whose sum is σ = 48066970193424. Its totient is φ = 6027471360000.

The previous prime is 20112122121101. The next prime is 20112122121103.

20112122121102 is a `hidden beast` number, since 201 + 121 + 221 + 21 + 102 = 666.

20112122121102 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20112122121101) and next prime (20112122121103).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112122121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3467006602 + ... + 3467012402.

It is an arithmetic number, because the mean of its divisors is an integer number (333798404121).

Almost surely, 2^{20112122121102} is an apocalyptic number.

20112122121102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112122121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24033485096712).

20112122121102 is an abundant number, since it is smaller than the sum of its proper divisors (27954848072322).

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

20112122121102 is a wasteful number, since it uses less digits than its factorization.

20112122121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7775 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, 2011212 and 2121102, that added together give a palindrome (4132314).

The spelling of 20112122121102 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred two".