1101131221400 has 96 divisors (see below), whose sum is σ = 2926074252000. Its totient is φ = 377503441920.

The previous prime is 1101131221387. The next prime is 1101131221429. The reversal of 1101131221400 is 41221311011.

It is a super-4 number, since 4×1101131221400⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33484166 + ... + 33517034.

It is an arithmetic number, because the mean of its divisors is an integer number (30479940125).

Almost surely, 2^{1101131221400} is an apocalyptic number.

1101131221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101131221400 is an abundant number, since it is smaller than the sum of its proper divisors (1824943030600).

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

1101131221400 is a wasteful number, since it uses less digits than its factorization.

1101131221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56821 (or 56812 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1101131221400 its reverse (41221311011), we get a palindrome (1142352532411).

The spelling of 1101131221400 in words is "one trillion, one hundred one billion, one hundred thirty-one million, two hundred twenty-one thousand, four hundred".