1012011000100 has 18 divisors (see below), whose sum is σ = 2196063870434. Its totient is φ = 404804400000.

The previous prime is 1012011000089. The next prime is 1012011000149. The reversal of 1012011000100 is 10001102101.

It can be written as a sum of positive squares in 3 ways, for example, as 170978942016 + 841032058084 = 413496^2 + 917078^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5060054901 + ... + 5060055100.

Almost surely, 2^{1012011000100} is an apocalyptic number.

1012011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012011000100 is an abundant number, since it is smaller than the sum of its proper divisors (1184052870334).

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

1012011000100 is a wasteful number, since it uses less digits than its factorization.

1012011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120110015 (or 10120110008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1012011000100 its reverse (10001102101), we get a palindrome (1022012102201).

The spelling of 1012011000100 in words is "one trillion, twelve billion, eleven million, one hundred", and thus it is an aban number.