101055510510601 has 16 divisors (see below), whose sum is σ = 105741741790080. Its totient is φ = 96393703443840.

The previous prime is 101055510510593. The next prime is 101055510510683. The reversal of 101055510510601 is 106015015550101.

It is a cyclic number.

It is not a de Polignac number, because 101055510510601 - 2³ = 101055510510593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101055510510001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92875846 + ... + 93957616.

It is an arithmetic number, because the mean of its divisors is an integer number (6608858861880).

Almost surely, 2^{101055510510601} is an apocalyptic number.

It is an amenable number.

101055510510601 is a deficient number, since it is larger than the sum of its proper divisors (4686231279479).

101055510510601 is a wasteful number, since it uses less digits than its factorization.

101055510510601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093056.

The product of its (nonzero) digits is 3750, while the sum is 31.

The spelling of 101055510510601 in words is "one hundred one trillion, fifty-five billion, five hundred ten million, five hundred ten thousand, six hundred one".