101272501 has 16 divisors (see below), whose sum is σ = 113654016. Its totient is φ = 89440000.

The previous prime is 101272459. The next prime is 101272513. The reversal of 101272501 is 105272101.

It is a cyclic number.

It is not a de Polignac number, because 101272501 - 2⁷ = 101272373 is a prime.

It is a super-2 number, since 2×101272501² = 20512238917590002, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101272531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 194121 + ... + 194641.

It is an arithmetic number, because the mean of its divisors is an integer number (7103376).

Almost surely, 2^101272501 is an apocalyptic number.

101272501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101272501 is the 4501-st centered decagonal number.

It is an amenable number.

101272501 is a deficient number, since it is larger than the sum of its proper divisors (12381515).

101272501 is a wasteful number, since it uses less digits than its factorization.

101272501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 101272501 is about 10063.4239203166. The cubic root of 101272501 is about 466.1193996758.

The spelling of 101272501 in words is "one hundred one million, two hundred seventy-two thousand, five hundred one".