1061100501001 has 8 divisors (see below), whose sum is σ = 1066695364904. Its totient is φ = 1055506636800.

The previous prime is 1061100500981. The next prime is 1061100501007. The reversal of 1061100501001 is 1001050011601.

It can be written as a sum of positive squares in 4 ways, for example, as 94064276601 + 967036224400 = 306699^2 + 983380^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1061100501001 - 2³³ = 1052510566409 is a prime.

It is a super-3 number, since 3×1061100501001³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1061100501007) 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, 1928401 + ... + 2416801.

It is an arithmetic number, because the mean of its divisors is an integer number (133336920613).

Almost surely, 2^{1061100501001} is an apocalyptic number.

It is an amenable number.

1061100501001 is a deficient number, since it is larger than the sum of its proper divisors (5594863903).

1061100501001 is a wasteful number, since it uses less digits than its factorization.

1061100501001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499851.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 1061100501001 its reverse (1001050011601), we get a palindrome (2062150512602).

The spelling of 1061100501001 in words is "one trillion, sixty-one billion, one hundred million, five hundred one thousand, one".