101034152541 has 48 divisors (see below), whose sum is σ = 172789214208. Its totient is φ = 55669420800.

The previous prime is 101034152537. The next prime is 101034152591. The reversal of 101034152541 is 145251430101.

101034152541 is a `hidden beast` number, since 1 + 0 + 103 + 4 + 15 + 2 + 541 = 666.

It is not a de Polignac number, because 101034152541 - 2² = 101034152537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101034152591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447601 + ... + 634361.

It is an arithmetic number, because the mean of its divisors is an integer number (3599775296).

Almost surely, 2^101034152541 is an apocalyptic number.

It is an amenable number.

101034152541 is a deficient number, since it is larger than the sum of its proper divisors (71755061667).

101034152541 is a wasteful number, since it uses less digits than its factorization.

101034152541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187082 (or 187079 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 101034152541 its reverse (145251430101), we get a palindrome (246285582642).

The spelling of 101034152541 in words is "one hundred one billion, thirty-four million, one hundred fifty-two thousand, five hundred forty-one".