61001005606101 has 12 divisors (see below), whose sum is σ = 96122796712800. Its totient is φ = 36970306427880.

The previous prime is 61001005606087. The next prime is 61001005606129. The reversal of 61001005606101 is 10160650010016.

It is not a de Polignac number, because 61001005606101 - 2⁵ = 61001005606069 is a prime.

It is a super-2 number, since 2×61001005606101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61001005606301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308085886801 + ... + 308085886998.

It is an arithmetic number, because the mean of its divisors is an integer number (8010233059400).

Almost surely, 2^{61001005606101} is an apocalyptic number.

It is an amenable number.

61001005606101 is a deficient number, since it is larger than the sum of its proper divisors (35121791106699).

61001005606101 is a wasteful number, since it uses less digits than its factorization.

61001005606101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616171773816 (or 616171773813 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 61001005606101 its reverse (10160650010016), we get a palindrome (71161655616117).

The spelling of 61001005606101 in words is "sixty-one trillion, one billion, five million, six hundred six thousand, one hundred one".