10101112120 has 128 divisors (see below), whose sum is σ = 26178681600. Its totient is φ = 3478769280.

The previous prime is 10101112103. The next prime is 10101112121. The reversal of 10101112120 is 2121110101.

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 = 10101112097 and 10101112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3016287 + ... + 3019633.

It is an arithmetic number, because the mean of its divisors is an integer number (204520950).

Almost surely, 2^10101112120 is an apocalyptic number.

10101112120 is a gapful number since it is divisible by the number (10) 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 10101112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089340800).

10101112120 is an abundant number, since it is smaller than the sum of its proper divisors (16077569480).

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

10101112120 is a wasteful number, since it uses less digits than its factorization.

10101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10101112120 its reverse (2121110101), we get a palindrome (12222222221).

It can be divided in two parts, 10101 and 112120, that added together give a palindrome (122221).

The spelling of 10101112120 in words is "ten billion, one hundred one million, one hundred twelve thousand, one hundred twenty".