1001121122100 has 144 divisors (see below), whose sum is σ = 3207065734656. Its totient is φ = 239073648000.

The previous prime is 1001121122077. The next prime is 1001121122101. The reversal of 1001121122100 is 12211211001.

It is a super-2 number, since 2×1001121122100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042856 + ... + 2485055.

It is an arithmetic number, because the mean of its divisors is an integer number (22271289824).

Almost surely, 2^{1001121122100} is an apocalyptic number.

1001121122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001121122100 is an abundant number, since it is smaller than the sum of its proper divisors (2205944612556).

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

1001121122100 is a wasteful number, since it uses less digits than its factorization.

1001121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528006 (or 4527999 counting only the distinct ones).

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

Adding to 1001121122100 its reverse (12211211001), we get a palindrome (1013332333101).

The spelling of 1001121122100 in words is "one trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".