1010005050101 has 4 divisors (see below), whose sum is σ = 1020005100204. Its totient is φ = 1000005000000.

The previous prime is 1010005050083. The next prime is 1010005050113. The reversal of 1010005050101 is 1010505000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 998980260100 + 11024790001 = 999490^2 + 104999^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010005050101 - 2³⁰ = 1008931308277 is a prime.

It is a super-2 number, since 2×1010005050101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010005050181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5000024900 + ... + 5000025101.

It is an arithmetic number, because the mean of its divisors is an integer number (255001275051).

Almost surely, 2^{1010005050101} is an apocalyptic number.

It is an amenable number.

1010005050101 is a deficient number, since it is larger than the sum of its proper divisors (10000050103).

1010005050101 is a wasteful number, since it uses less digits than its factorization.

1010005050101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000050102.

The product of its (nonzero) digits is 25, while the sum is 14.

The spelling of 1010005050101 in words is "one trillion, ten billion, five million, fifty thousand, one hundred one".