61100010001 has 8 divisors (see below), whose sum is σ = 61192895400. Its totient is φ = 61007172480.

The previous prime is 61100009983. The next prime is 61100010031. The reversal of 61100010001 is 10001000116.

It can be written as a sum of positive squares in 4 ways, for example, as 29087643601 + 32012366400 = 170551^2 + 178920^2 .

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 61100010001 - 2¹⁵ = 61099977233 is a prime.

It is a super-2 number, since 2×61100010001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

61100010001 is a modest number, since divided by 10001 gives 611 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 61100010001.

It is not an unprimeable number, because it can be changed into a prime (61100010031) 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, 3157965 + ... + 3177253.

It is an arithmetic number, because the mean of its divisors is an integer number (7649111925).

Almost surely, 2^61100010001 is an apocalyptic number.

It is an amenable number.

61100010001 is a deficient number, since it is larger than the sum of its proper divisors (92885399).

61100010001 is a wasteful number, since it uses less digits than its factorization.

61100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23939.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 61100010001 its reverse (10001000116), we get a palindrome (71101010117).

The spelling of 61100010001 in words is "sixty-one billion, one hundred million, ten thousand, one".