101641220 has 24 divisors (see below), whose sum is σ = 219216984. Its totient is φ = 39557376.

The previous prime is 101641153. The next prime is 101641229. The reversal of 101641220 is 22146101.

It can be written as a sum of positive squares in 4 ways, for example, as 15225604 + 86415616 = 3902^2 + 9296^2 .

It is not an unprimeable number, because it can be changed into a prime (101641229) 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 7 ways as a sum of consecutive naturals, for example, 67937 + ... + 69416.

It is an arithmetic number, because the mean of its divisors is an integer number (9134041).

Almost surely, 2^101641220 is an apocalyptic number.

101641220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101641220 is an abundant number, since it is smaller than the sum of its proper divisors (117575764).

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

101641220 is a wasteful number, since it uses less digits than its factorization.

101641220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137399 (or 137397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101641220 is about 10081.7270345908. The cubic root of 101641220 is about 466.6844063551.

Adding to 101641220 its reverse (22146101), we get a palindrome (123787321).

The spelling of 101641220 in words is "one hundred one million, six hundred forty-one thousand, two hundred twenty".