1011122112100 has 144 divisors (see below), whose sum is σ = 2391458843088. Its totient is φ = 369622056960.

The previous prime is 1011122112079. The next prime is 1011122112107. The reversal of 1011122112100 is 12112211101.

It is a happy number.

1011122112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 780593454144 + 230528657956 = 883512^2 + 480134^2 .

It is not an unprimeable number, because it can be changed into a prime (1011122112107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8681854 + ... + 8797546.

It is an arithmetic number, because the mean of its divisors is an integer number (16607353077).

Almost surely, 2^{1011122112100} is an apocalyptic number.

1011122112100 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 1011122112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195729421544).

1011122112100 is an abundant number, since it is smaller than the sum of its proper divisors (1380336730988).

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

1011122112100 is a wasteful number, since it uses less digits than its factorization.

1011122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115874 (or 115867 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011122112100 its reverse (12112211101), we get a palindrome (1023234323201).

Subtracting from 1011122112100 its reverse (12112211101), we obtain a palindrome (999009900999).

The spelling of 1011122112100 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".