1010100100041 has 12 divisors (see below), whose sum is σ = 1460976275200. Its totient is φ = 672503391000.

The previous prime is 1010100100039. The next prime is 1010100100069. The reversal of 1010100100041 is 1400010010101.

It is not a de Polignac number, because 1010100100041 - 2¹ = 1010100100039 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010100099996 and 1010100100032.

It is not an unprimeable number, because it can be changed into a prime (1010100100081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74715841 + ... + 74729358.

Almost surely, 2^{1010100100041} is an apocalyptic number.

It is an amenable number.

1010100100041 is a deficient number, since it is larger than the sum of its proper divisors (450876175159).

1010100100041 is a wasteful number, since it uses less digits than its factorization.

1010100100041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149445956 (or 149445953 counting only the distinct ones).

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

Adding to 1010100100041 its reverse (1400010010101), we get a palindrome (2410110110142).

The spelling of 1010100100041 in words is "one trillion, ten billion, one hundred million, one hundred thousand, forty-one".