100101420 has 144 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 26018496.

The previous prime is 100101401. The next prime is 100101431. The reversal of 100101420 is 24101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208741 + ... + 209219.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 2^100101420 is an apocalyptic number.

100101420 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 100101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

100101420 is an abundant number, since it is smaller than the sum of its proper divisors (222781140).

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

100101420 is a wasteful number, since it uses less digits than its factorization.

100101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100101420 is about 10005.0697148995. The cubic root of 100101420 is about 464.3157469894.

Adding to 100101420 its reverse (24101001), we get a palindrome (124202421).

The spelling of 100101420 in words is "one hundred million, one hundred one thousand, four hundred twenty".