101061430272 has 528 divisors, whose sum is σ = 348524840160. Its totient is φ = 28807004160.

The previous prime is 101061430271. The next prime is 101061430273. The reversal of 101061430272 is 272034160101.

101061430272 is a `hidden beast` number, since 1 + 0 + 10 + 614 + 30 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (101061430271) and next prime (101061430273).

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (101061430271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56871048 + ... + 56872824.

Almost surely, 2^101061430272 is an apocalyptic number.

101061430272 is a gapful number since it is divisible by the number (12) 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 101061430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174262420080).

101061430272 is an abundant number, since it is smaller than the sum of its proper divisors (247463409888).

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

101061430272 is a wasteful number, since it uses less digits than its factorization.

101061430272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 101061430272 its reverse (272034160101), we get a palindrome (373095590373).

The spelling of 101061430272 in words is "one hundred one billion, sixty-one million, four hundred thirty thousand, two hundred seventy-two".