1001100121122 has 16 divisors (see below), whose sum is σ = 2005542820800. Its totient is φ = 333142943952.

The previous prime is 1001100121111. The next prime is 1001100121127. The reversal of 1001100121122 is 2211210011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001100121098 and 1001100121107.

It is not an unprimeable number, because it can be changed into a prime (1001100121127) 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, 139270213 + ... + 139277400.

It is an arithmetic number, because the mean of its divisors is an integer number (125346426300).

Almost surely, 2^{1001100121122} is an apocalyptic number.

1001100121122 is an abundant number, since it is smaller than the sum of its proper divisors (1004442699678).

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

1001100121122 is a wasteful number, since it uses less digits than its factorization.

1001100121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278548217.

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

Adding to 1001100121122 its reverse (2211210011001), we get a palindrome (3212310132123).

The spelling of 1001100121122 in words is "one trillion, one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-two".