101282100 has 36 divisors (see below), whose sum is σ = 293043744. Its totient is φ = 27008480.

The previous prime is 101282081. The next prime is 101282101. The reversal of 101282100 is 1282101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101282100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101282101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168504 + ... + 169103.

It is an arithmetic number, because the mean of its divisors is an integer number (8140104).

Almost surely, 2^101282100 is an apocalyptic number.

101282100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101282100 is an abundant number, since it is smaller than the sum of its proper divisors (191761644).

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

101282100 is a wasteful number, since it uses less digits than its factorization.

101282100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337624 (or 337617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 101282100 is about 10063.9008341696. The cubic root of 101282100 is about 466.1341260781.

Subtracting from 101282100 its reverse (1282101), we obtain a palindrome (99999999).

The spelling of 101282100 in words is "one hundred one million, two hundred eighty-two thousand, one hundred".