610000100101 has 32 divisors (see below), whose sum is σ = 716915543040. Its totient is φ = 508235904000.

The previous prime is 610000100069. The next prime is 610000100123. The reversal of 610000100101 is 101001000016.

It is a cyclic number.

It is not a de Polignac number, because 610000100101 - 2⁵ = 610000100069 is a prime.

It is a super-3 number, since 3×610000100101³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610000110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105151401 + ... + 105157201.

It is an arithmetic number, because the mean of its divisors is an integer number (22403610720).

Almost surely, 2^610000100101 is an apocalyptic number.

610000100101 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

610000100101 is a deficient number, since it is larger than the sum of its proper divisors (106915442939).

610000100101 is a wasteful number, since it uses less digits than its factorization.

610000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725.

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

Adding to 610000100101 its reverse (101001000016), we get a palindrome (711001100117).

The spelling of 610000100101 in words is "six hundred ten billion, one hundred thousand, one hundred one".