1011101122112 has 56 divisors (see below), whose sum is σ = 2056992823776. Its totient is φ = 492848713728.

The previous prime is 1011101122111. The next prime is 1011101122123. The reversal of 1011101122112 is 2112211011101.

1011101122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011101122112² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011101122111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1088048 + ... + 1790544.

Almost surely, 2^{1011101122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011101122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028496411888).

1011101122112 is an abundant number, since it is smaller than the sum of its proper divisors (1045891701664).

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

1011101122112 is an equidigital number, since it uses as much as digits as its factorization.

1011101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703075 (or 703065 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1011101122112 its reverse (2112211011101), we get a palindrome (3123312133213).

The spelling of 1011101122112 in words is "one trillion, eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".