20101234120 has 128 divisors (see below), whose sum is σ = 50000302080. Its totient is φ = 7212160000.

The previous prime is 20101234067. The next prime is 20101234147. The reversal of 20101234120 is 2143210102.

It is a super-2 number, since 2×20101234120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101234094 and 20101234103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17019930 + ... + 17021110.

It is an arithmetic number, because the mean of its divisors is an integer number (390627360).

Almost surely, 2^20101234120 is an apocalyptic number.

20101234120 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 20101234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25000151040).

20101234120 is an abundant number, since it is smaller than the sum of its proper divisors (29899067960).

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

20101234120 is a wasteful number, since it uses less digits than its factorization.

20101234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20101234120 its reverse (2143210102), we get a palindrome (22244444222).

The spelling of 20101234120 in words is "twenty billion, one hundred one million, two hundred thirty-four thousand, one hundred twenty".