1110101120100 has 270 divisors, whose sum is σ = 4186022487570. Its totient is φ = 253737308160.

The previous prime is 1110101120087. The next prime is 1110101120111. The reversal of 1110101120100 is 10211010111.

It can be written as a sum of positive squares in 3 ways, for example, as 1595363364 + 1108505756736 = 39942^2 + 1052856^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 1001565 + ... + 1795364.

It is an arithmetic number, because the mean of its divisors is an integer number (15503786991).

Almost surely, 2^{1110101120100} is an apocalyptic number.

1110101120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110101120100 is an abundant number, since it is smaller than the sum of its proper divisors (3075921367470).

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

1110101120100 is a wasteful number, since it uses less digits than its factorization.

1110101120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796969 (or 2796946 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110101120100 its reverse (10211010111), we get a palindrome (1120312130211).

The spelling of 1110101120100 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred twenty thousand, one hundred".