101015010 has 24 divisors (see below), whose sum is σ = 262639260. Its totient is φ = 26937312.

The previous prime is 101014999. The next prime is 101015059. The reversal of 101015010 is 10510101.

It can be written as a sum of positive squares in 2 ways, for example, as 93837969 + 7177041 = 9687^2 + 2679^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101014983 and 101015001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561105 + ... + 561284.

Almost surely, 2^101015010 is an apocalyptic number.

101015010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101015010 is an abundant number, since it is smaller than the sum of its proper divisors (161624250).

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

101015010 is a wasteful number, since it uses less digits than its factorization.

101015010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122402 (or 1122399 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 101015010 is about 10050.6223687889. The cubic root of 101015010 is about 465.7240195098.

Adding to 101015010 its reverse (10510101), we get a palindrome (111525111).

The spelling of 101015010 in words is "one hundred one million, fifteen thousand, ten".