20101212120 has 192 divisors, whose sum is σ = 66435989760. Its totient is φ = 4861866240.

The previous prime is 20101212119. The next prime is 20101212137. The reversal of 20101212120 is 2121210102.

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 = 20101212096 and 20101212105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7592637 + ... + 7595283.

It is an arithmetic number, because the mean of its divisors is an integer number (346020780).

Almost surely, 2^20101212120 is an apocalyptic number.

20101212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33217994880).

20101212120 is an abundant number, since it is smaller than the sum of its proper divisors (46334777640).

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

20101212120 is a wasteful number, since it uses less digits than its factorization.

20101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3191 counting only the distinct ones).

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

Adding to 20101212120 its reverse (2121210102), we get a palindrome (22222422222).

It can be divided in two parts, 20101 and 212120, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 20101212120 in words is "twenty billion, one hundred one million, two hundred twelve thousand, one hundred twenty".