1011121110100 has 36 divisors (see below), whose sum is σ = 2215856918268. Its totient is φ = 400444000000.

The previous prime is 1011121110071. The next prime is 1011121110143. The reversal of 1011121110100 is 10111211101.

It can be written as a sum of positive squares in 6 ways, for example, as 762422544 + 1010358687556 = 27612^2 + 1005166^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50045401 + ... + 50065600.

It is an arithmetic number, because the mean of its divisors is an integer number (61551581063).

Almost surely, 2^{1011121110100} is an apocalyptic number.

1011121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011121110100 is an abundant number, since it is smaller than the sum of its proper divisors (1204735808168).

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

1011121110100 is a wasteful number, since it uses less digits than its factorization.

1011121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111116 (or 100111109 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1011121110100 its reverse (10111211101), we get a palindrome (1021232321201).

1011121110100 divided by its reverse (10111211101) gives a square (100 = 10²).

The spelling of 1011121110100 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred".