101024000001 has 6 divisors (see below), whose sum is σ = 145923555570. Its totient is φ = 67349333328.

The previous prime is 101023999963. The next prime is 101024000039. The reversal of 101024000001 is 100000420101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101023999963) and next prime (101024000039).

It can be written as a sum of positive squares in only one way, i.e., 101009552400 + 14447601 = 317820^2 + 3801^2 .

It is not a de Polignac number, because 101024000001 - 2⁷ = 101023999873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11224888889 = 101024000001 / (1 + 0 + 1 + 0 + 2 + 4 + 0 + 0 + 0 + 0 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101024000201) 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 5 ways as a sum of consecutive naturals, for example, 5612444436 + ... + 5612444453.

It is an arithmetic number, because the mean of its divisors is an integer number (24320592595).

Almost surely, 2^101024000001 is an apocalyptic number.

It is an amenable number.

101024000001 is a deficient number, since it is larger than the sum of its proper divisors (44899555569).

101024000001 is a wasteful number, since it uses less digits than its factorization.

101024000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224888895 (or 11224888892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101024000001 its reverse (100000420101), we get a palindrome (201024420102).

The spelling of 101024000001 in words is "one hundred one billion, twenty-four million, one", and thus it is an aban number.