10011212100120 has 512 divisors, whose sum is σ = 37599709593600. Its totient is φ = 2071648051200.

The previous prime is 10011212100119. The next prime is 10011212100139. The reversal of 10011212100120 is 2100121211001.

10011212100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10011212100096 and 10011212100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3207692160 + ... + 3207695280.

It is an arithmetic number, because the mean of its divisors is an integer number (73436932800).

Almost surely, 2^{10011212100120} is an apocalyptic number.

10011212100120 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 10011212100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799854796800).

10011212100120 is an abundant number, since it is smaller than the sum of its proper divisors (27588497493480).

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

10011212100120 is a wasteful number, since it uses less digits than its factorization.

10011212100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011212100120 its reverse (2100121211001), we get a palindrome (12111333311121).

The spelling of 10011212100120 in words is "ten trillion, eleven billion, two hundred twelve million, one hundred thousand, one hundred twenty".