101027671200 has 720 divisors, whose sum is σ = 391702976280. Its totient is φ = 25291284480.

The previous prime is 101027671183. The next prime is 101027671211. The reversal of 101027671200 is 2176720101.

It can be written as a sum of positive squares in 12 ways, for example, as 52439168016 + 48588503184 = 228996^2 + 220428^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69529674 + ... + 69531126.

Almost surely, 2^101027671200 is an apocalyptic number.

101027671200 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 101027671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195851488140).

101027671200 is an abundant number, since it is smaller than the sum of its proper divisors (290675305080).

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

101027671200 is a wasteful number, since it uses less digits than its factorization.

101027671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 101027671200 in words is "one hundred one billion, twenty-seven million, six hundred seventy-one thousand, two hundred".