10122110212120 has 16 divisors (see below), whose sum is σ = 22774747977360. Its totient is φ = 4048844084832.

The previous prime is 10122110212103. The next prime is 10122110212147. The reversal of 10122110212120 is 2121201122101.

It is a junction number, because it is equal to n+sod(n) for n = 10122110212094 and 10122110212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126526377612 + ... + 126526377691.

It is an arithmetic number, because the mean of its divisors is an integer number (1423421748585).

Almost surely, 2^{10122110212120} is an apocalyptic number.

10122110212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122110212120 is an abundant number, since it is smaller than the sum of its proper divisors (12652637765240).

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

10122110212120 is a wasteful number, since it uses less digits than its factorization.

10122110212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253052755314 (or 253052755310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122110212120 its reverse (2121201122101), we get a palindrome (12243311334221).

The spelling of 10122110212120 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred twelve thousand, one hundred twenty".