4000010010101 has 48 divisors (see below), whose sum is σ = 4921393264128. Its totient is φ = 3236519462400.

The previous prime is 4000010010091. The next prime is 4000010010121. The reversal of 4000010010101 is 1010100100004.

It is a de Polignac number, because none of the positive numbers 2^k-4000010010101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000010010121) 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, 49666001 + ... + 49746473.

It is an arithmetic number, because the mean of its divisors is an integer number (102529026336).

Almost surely, 2^{4000010010101} is an apocalyptic number.

It is an amenable number.

4000010010101 is a deficient number, since it is larger than the sum of its proper divisors (921383254027).

4000010010101 is a wasteful number, since it uses less digits than its factorization.

4000010010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81322 (or 81315 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 4000010010101 its reverse (1010100100004), we get a palindrome (5010110110105).

The spelling of 4000010010101 in words is "four trillion, ten million, ten thousand, one hundred one".