1001122000100 has 36 divisors (see below), whose sum is σ = 2175113627568. Its totient is φ = 399954996000.

The previous prime is 1001122000079. The next prime is 1001122000103. The reversal of 1001122000100 is 10002211001.

1001122000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001122000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6091046 + ... + 6253245.

It is an arithmetic number, because the mean of its divisors is an integer number (60419822988).

Almost surely, 2^{1001122000100} is an apocalyptic number.

1001122000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122000100 is an abundant number, since it is smaller than the sum of its proper divisors (1173991627468).

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

1001122000100 is a wasteful number, since it uses less digits than its factorization.

1001122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12345116 (or 12345109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001122000100 its reverse (10002211001), we get a palindrome (1011124211101).

The spelling of 1001122000100 in words is "one trillion, one billion, one hundred twenty-two million, one hundred", and thus it is an aban number.