1011123312100 has 36 divisors (see below), whose sum is σ = 2393604643248. Its totient is φ = 367681204000.

The previous prime is 1011123312097. The next prime is 1011123312107. The reversal of 1011123312100 is 12133211101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1011123312107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459600406 + ... + 459602605.

It is an arithmetic number, because the mean of its divisors is an integer number (66489017868).

Almost surely, 2^{1011123312100} is an apocalyptic number.

1011123312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011123312100 is an abundant number, since it is smaller than the sum of its proper divisors (1382481331148).

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

1011123312100 is a wasteful number, since it uses less digits than its factorization.

1011123312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919203036 (or 919203029 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1011123312100 its reverse (12133211101), we get a palindrome (1023256523201).

The spelling of 1011123312100 in words is "one trillion, eleven billion, one hundred twenty-three million, three hundred twelve thousand, one hundred".