10212101120 has 88 divisors (see below), whose sum is σ = 26381637744. Its totient is φ = 3770597376.

The previous prime is 10212101087. The next prime is 10212101147. The reversal of 10212101120 is 2110121201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10154 + ... + 143273.

It is an arithmetic number, because the mean of its divisors is an integer number (299791338).

Almost surely, 2^10212101120 is an apocalyptic number.

10212101120 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 10212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190818872).

10212101120 is an abundant number, since it is smaller than the sum of its proper divisors (16169536624).

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

10212101120 is a wasteful number, since it uses less digits than its factorization.

10212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153465 (or 153447 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10212101120 its reverse (2110121201), we get a palindrome (12322222321).

The spelling of 10212101120 in words is "ten billion, two hundred twelve million, one hundred one thousand, one hundred twenty".