1010505206601 has 40 divisors (see below), whose sum is σ = 1647568590624. Its totient is φ = 612122676480.

The previous prime is 1010505206591. The next prime is 1010505206617. The reversal of 1010505206601 is 1066025050101.

It is a happy number.

1010505206601 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 0 + 52 + 0 + 6 + 601 = 666.

It is not a de Polignac number, because 1010505206601 - 2⁶ = 1010505206537 is a prime.

It is a super-2 number, since 2×1010505206601² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1010505206401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1516006 + ... + 2078288.

Almost surely, 2^{1010505206601} is an apocalyptic number.

1010505206601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010505206601 is a deficient number, since it is larger than the sum of its proper divisors (637063384023).

1010505206601 is a wasteful number, since it uses less digits than its factorization.

1010505206601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564323 (or 564314 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 1010505206601 in words is "one trillion, ten billion, five hundred five million, two hundred six thousand, six hundred one".