1010211122112 has 112 divisors (see below), whose sum is σ = 2761590607872. Its totient is φ = 325576995840.

The previous prime is 1010211122093. The next prime is 1010211122159. The reversal of 1010211122112 is 2112211120101.

It is a happy number.

1010211122112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010211122112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010211122091 and 1010211122100.

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, 6488118 + ... + 6641994.

Almost surely, 2^{1010211122112} is an apocalyptic number.

1010211122112 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 1010211122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380795303936).

1010211122112 is an abundant number, since it is smaller than the sum of its proper divisors (1751379485760).

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

1010211122112 is a wasteful number, since it uses less digits than its factorization.

1010211122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155026 (or 155016 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1010211122112 its reverse (2112211120101), we get a palindrome (3122422242213).

The spelling of 1010211122112 in words is "one trillion, ten billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".