101277132 has 48 divisors (see below), whose sum is σ = 260198400. Its totient is φ = 30404160.

The previous prime is 101277101. The next prime is 101277139. The reversal of 101277132 is 231772101.

It is a super-2 number, since 2×101277132² = 20514114932290848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101277139) 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, 10869 + ... + 17907.

It is an arithmetic number, because the mean of its divisors is an integer number (5420800).

Almost surely, 2^101277132 is an apocalyptic number.

101277132 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 101277132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130099200).

101277132 is an abundant number, since it is smaller than the sum of its proper divisors (158921268).

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

101277132 is a wasteful number, since it uses less digits than its factorization.

101277132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 101277132 is about 10063.6540083610. The cubic root of 101277132 is about 466.1265044872.

The spelling of 101277132 in words is "one hundred one million, two hundred seventy-seven thousand, one hundred thirty-two".