1010001101000 has 32 divisors (see below), whose sum is σ = 2363402578680. Its totient is φ = 404000440000.

The previous prime is 1010001100993. The next prime is 1010001101003. The reversal of 1010001101000 is 1011000101.

It can be written as a sum of positive squares in 4 ways, for example, as 441940425796 + 568060675204 = 664786^2 + 753698^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1010001101003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504999551 + ... + 505001550.

Almost surely, 2^{1010001101000} is an apocalyptic number.

1010001101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001101000 is an abundant number, since it is smaller than the sum of its proper divisors (1353401477680).

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

1010001101000 is a wasteful number, since it uses less digits than its factorization.

1010001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010001122 (or 1010001108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010001101000 its reverse (1011000101), we get a palindrome (1011012101101).

The spelling of 1010001101000 in words is "one trillion, ten billion, one million, one hundred one thousand".