10002011011122 has 128 divisors (see below), whose sum is σ = 22950273024000. Its totient is φ = 2884078229760.

The previous prime is 10002011011087. The next prime is 10002011011123. The reversal of 10002011011122 is 22111011020001.

It is a junction number, because it is equal to n+sod(n) for n = 10002011011098 and 10002011011107.

It is not an unprimeable number, because it can be changed into a prime (10002011011123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10068847 + ... + 11017517.

It is an arithmetic number, because the mean of its divisors is an integer number (179299008000).

Almost surely, 2^{10002011011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002011011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475136512000).

10002011011122 is an abundant number, since it is smaller than the sum of its proper divisors (12948262012878).

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

10002011011122 is a wasteful number, since it uses less digits than its factorization.

10002011011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948856.

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

Adding to 10002011011122 its reverse (22111011020001), we get a palindrome (32113022031123).

The spelling of 10002011011122 in words is "ten trillion, two billion, eleven million, eleven thousand, one hundred twenty-two".