1010055506101 has 24 divisors (see below), whose sum is σ = 1089851926464. Its totient is φ = 934187400960.

The previous prime is 1010055506069. The next prime is 1010055506129. The reversal of 1010055506101 is 1016055500101.

It is not a de Polignac number, because 1010055506101 - 2⁵ = 1010055506069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010055506171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4097221 + ... + 4336741.

It is an arithmetic number, because the mean of its divisors is an integer number (45410496936).

Almost surely, 2^{1010055506101} is an apocalyptic number.

It is an amenable number.

1010055506101 is a deficient number, since it is larger than the sum of its proper divisors (79796420363).

1010055506101 is an equidigital number, since it uses as much as digits as its factorization.

1010055506101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239721 (or 239674 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 1010055506101 in words is "one trillion, ten billion, fifty-five million, five hundred six thousand, one hundred one".