1011100201122 has 128 divisors (see below), whose sum is σ = 2251605952512. Its totient is φ = 300135744000.

The previous prime is 1011100201099. The next prime is 1011100201141. The reversal of 1011100201122 is 2211020011101.

It is a junction number, because it is equal to n+sod(n) for n = 1011100201098 and 1011100201107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 705582118 + ... + 705583550.

It is an arithmetic number, because the mean of its divisors is an integer number (17590671504).

Almost surely, 2^{1011100201122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011100201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125802976256).

1011100201122 is an abundant number, since it is smaller than the sum of its proper divisors (1240505751390).

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

1011100201122 is a wasteful number, since it uses less digits than its factorization.

1011100201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536.

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

Adding to 1011100201122 its reverse (2211020011101), we get a palindrome (3222120212223).

The spelling of 1011100201122 in words is "one trillion, eleven billion, one hundred million, two hundred one thousand, one hundred twenty-two".