10111121110212 has 96 divisors (see below), whose sum is σ = 24947660707200. Its totient is φ = 3182353155072.

The previous prime is 10111121110201. The next prime is 10111121110229. The reversal of 10111121110212 is 21201112111101.

It is a junction number, because it is equal to n+sod(n) for n = 10111121110191 and 10111121110200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4769464 + ... + 6555152.

It is an arithmetic number, because the mean of its divisors is an integer number (259871465700).

Almost surely, 2^{10111121110212} is an apocalyptic number.

10111121110212 is a gapful number since it is divisible by the number (12) 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 10111121110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473830353600).

10111121110212 is an abundant number, since it is smaller than the sum of its proper divisors (14836539596988).

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

10111121110212 is a wasteful number, since it uses less digits than its factorization.

10111121110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786085 (or 1786083 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10111121110212 its reverse (21201112111101), we get a palindrome (31312233221313).

The spelling of 10111121110212 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, two hundred twelve".