1011000101001 has 32 divisors (see below), whose sum is σ = 1474108416000. Its totient is φ = 611244043200.

The previous prime is 1011000100991. The next prime is 1011000101017. The reversal of 1011000101001 is 1001010001101.

It is not a de Polignac number, because 1011000101001 - 2¹⁷ = 1010999969929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011000106001) 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, 36419875 + ... + 36447623.

It is an arithmetic number, because the mean of its divisors is an integer number (46065888000).

Almost surely, 2^{1011000101001} is an apocalyptic number.

1011000101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011000101001 is a deficient number, since it is larger than the sum of its proper divisors (463108314999).

1011000101001 is a wasteful number, since it uses less digits than its factorization.

1011000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30397.

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

Adding to 1011000101001 its reverse (1001010001101), we get a palindrome (2012010102102).

The spelling of 1011000101001 in words is "one trillion, eleven billion, one hundred one thousand, one".