20100112120 has 64 divisors (see below), whose sum is σ = 50386406400. Its totient is φ = 7153610880.

The previous prime is 20100112079. The next prime is 20100112127. The reversal of 20100112120 is 2121100102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20100112097 and 20100112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100112127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465300 + ... + 506659.

It is an arithmetic number, because the mean of its divisors is an integer number (787287600).

Almost surely, 2^20100112120 is an apocalyptic number.

20100112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100112120 is an abundant number, since it is smaller than the sum of its proper divisors (30286294280).

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

20100112120 is a wasteful number, since it uses less digits than its factorization.

20100112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972028 (or 972024 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20100112120 its reverse (2121100102), we get a palindrome (22221212222).

The spelling of 20100112120 in words is "twenty billion, one hundred million, one hundred twelve thousand, one hundred twenty".