101005011566655 has 16 divisors (see below), whose sum is σ = 184694878293504. Its totient is φ = 46173719573280.

The previous prime is 101005011566651. The next prime is 101005011566741. The reversal of 101005011566655 is 556665110500101.

It is not a de Polignac number, because 101005011566655 - 2² = 101005011566651 is a prime.

It is a super-2 number, since 2×101005011566655² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005011566651) 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, 480976245451 + ... + 480976245660.

It is an arithmetic number, because the mean of its divisors is an integer number (11543429893344).

Almost surely, 2^{101005011566655} is an apocalyptic number.

101005011566655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101005011566655 is a deficient number, since it is larger than the sum of its proper divisors (83689866726849).

101005011566655 is an equidigital number, since it uses as much as digits as its factorization.

101005011566655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961952491126.

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 101005011566655 in words is "one hundred one trillion, five billion, eleven million, five hundred sixty-six thousand, six hundred fifty-five".