101005528010 has 16 divisors (see below), whose sum is σ = 184300499016. Its totient is φ = 39848755968.

The previous prime is 101005528003. The next prime is 101005528027. The reversal of 101005528010 is 10825500101.

It can be written as a sum of positive squares in 4 ways, for example, as 100039996681 + 965531329 = 316291^2 + 31073^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 69181139 + ... + 69182598.

Almost surely, 2^101005528010 is an apocalyptic number.

101005528010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101005528010 is a deficient number, since it is larger than the sum of its proper divisors (83294971006).

101005528010 is a wasteful number, since it uses less digits than its factorization.

101005528010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138363817.

The product of its (nonzero) digits is 400, while the sum is 23.

The spelling of 101005528010 in words is "one hundred one billion, five million, five hundred twenty-eight thousand, ten".