10001010101004 has 144 divisors (see below), whose sum is σ = 28177173679200. Its totient is φ = 2969707732992.

The previous prime is 10001010101003. The next prime is 10001010101009. The reversal of 10001010101004 is 40010101010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001010101003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28503267 + ... + 28852005.

Almost surely, 2^{10001010101004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001010101004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088586839600).

10001010101004 is an abundant number, since it is smaller than the sum of its proper divisors (18176163578196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001010101004 is a wasteful number, since it uses less digits than its factorization.

10001010101004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350904 (or 350899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001010101004 its reverse (40010101010001), we get a palindrome (50011111111005).

The spelling of 10001010101004 in words is "ten trillion, one billion, ten million, one hundred one thousand, four".