1001011000101 has 32 divisors (see below), whose sum is σ = 1621529088000. Its totient is φ = 536535316800.

The previous prime is 1001011000013. The next prime is 1001011000123. The reversal of 1001011000101 is 1010001101001.

1001011000101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001011000101 - 2³⁵ = 966651261733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011004101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12379501 + ... + 12460098.

It is an arithmetic number, because the mean of its divisors is an integer number (50672784000).

Almost surely, 2^{1001011000101} is an apocalyptic number.

It is an amenable number.

1001011000101 is a deficient number, since it is larger than the sum of its proper divisors (620518087899).

1001011000101 is a wasteful number, since it uses less digits than its factorization.

1001011000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24839729.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001011000101 its reverse (1010001101001), we get a palindrome (2011012101102).

The spelling of 1001011000101 in words is "one trillion, one billion, eleven million, one hundred one", and thus it is an aban number.