101004407010 has 48 divisors (see below), whose sum is σ = 282812342904. Its totient is φ = 24862622976.

The previous prime is 101004407003. The next prime is 101004407017. The reversal of 101004407010 is 10704400101.

It is an interprime number because it is at equal distance from previous prime (101004407003) and next prime (101004407017).

It can be written as a sum of positive squares in 4 ways, for example, as 27277495281 + 73726911729 = 165159^2 + 271527^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101004407017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43163107 + ... + 43165446.

Almost surely, 2^101004407010 is an apocalyptic number.

101004407010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101004407010 is an abundant number, since it is smaller than the sum of its proper divisors (181807935894).

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

101004407010 is a wasteful number, since it uses less digits than its factorization.

101004407010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86328579 (or 86328576 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 101004407010 its reverse (10704400101), we get a palindrome (111708807111).

The spelling of 101004407010 in words is "one hundred one billion, four million, four hundred seven thousand, ten".