101661204553263 has 80 divisors (see below), whose sum is σ = 158652227543040. Its totient is φ = 64751731634304.

The previous prime is 101661204553261. The next prime is 101661204553273. The reversal of 101661204553263 is 362355402166101.

It is a happy number.

101661204553263 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 6 + 12 + 0 + 45 + 532 + 63 = 666.

It is not a de Polignac number, because 101661204553263 - 2¹ = 101661204553261 is a prime.

It is a super-2 number, since 2×101661204553263² (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 (101661204553261) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6560049331 + ... + 6560064827.

It is an arithmetic number, because the mean of its divisors is an integer number (1983152844288).

Almost surely, 2^{101661204553263} is an apocalyptic number.

101661204553263 is a deficient number, since it is larger than the sum of its proper divisors (56991022989777).

101661204553263 is a wasteful number, since it uses less digits than its factorization.

101661204553263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19418 (or 19409 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 101661204553263 in words is "one hundred one trillion, six hundred sixty-one billion, two hundred four million, five hundred fifty-three thousand, two hundred sixty-three".