61006100501100 has 72 divisors (see below), whose sum is σ = 176525187321168. Its totient is φ = 16266984416000.

The previous prime is 61006100501063. The next prime is 61006100501153. The reversal of 61006100501100 is 110500160016.

It is a super-2 number, since 2×61006100501100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4444251 + ... + 11906450.

It is an arithmetic number, because the mean of its divisors is an integer number (2451738712794).

Almost surely, 2^{61006100501100} is an apocalyptic number.

61006100501100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61006100501100 is an abundant number, since it is smaller than the sum of its proper divisors (115519086820068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61006100501100 is a wasteful number, since it uses less digits than its factorization.

61006100501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16363155 (or 16363148 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 61006100501100 its reverse (110500160016), we get a palindrome (61116600661116).

The spelling of 61006100501100 in words is "sixty-one trillion, six billion, one hundred million, five hundred one thousand, one hundred".