101527308100 has 72 divisors (see below), whose sum is σ = 229978532168. Its totient is φ = 38865484800.

The previous prime is 101527308073. The next prime is 101527308131. The reversal of 101527308100 is 1803725101.

It can be written as a sum of positive squares in 12 ways, for example, as 21423591424 + 80103716676 = 146368^2 + 283026^2 .

It is a super-2 number, since 2×101527308100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784 + ... + 450616.

Almost surely, 2^101527308100 is an apocalyptic number.

101527308100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101527308100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114989266084).

101527308100 is an abundant number, since it is smaller than the sum of its proper divisors (128451224068).

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

101527308100 is a wasteful number, since it uses less digits than its factorization.

101527308100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449945 (or 449938 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 101527308100 in words is "one hundred one billion, five hundred twenty-seven million, three hundred eight thousand, one hundred".