1010112212120 has 64 divisors (see below), whose sum is σ = 2504926922400. Its totient is φ = 363526778880.

The previous prime is 1010112212119. The next prime is 1010112212147. The reversal of 1010112212120 is 212122110101.

1010112212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1010112212120⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 1010112212095 and 1010112212104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11790875 + ... + 11876234.

Almost surely, 2^{1010112212120} is an apocalyptic number.

1010112212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010112212120 is an abundant number, since it is smaller than the sum of its proper divisors (1494814710280).

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

1010112212120 is a wasteful number, since it uses less digits than its factorization.

1010112212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23667228 (or 23667224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1010112212120 its reverse (212122110101), we get a palindrome (1222234322221).

It can be divided in two parts, 10101 and 12212120, that added together give a palindrome (12222221).

The spelling of 1010112212120 in words is "one trillion, ten billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".