100201010 has 64 divisors (see below), whose sum is σ = 223776000. Its totient is φ = 31456512.

The previous prime is 100200967. The next prime is 100201037. The reversal of 100201010 is 10102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 100200985 and 100201003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135221 + ... + 135959.

It is an arithmetic number, because the mean of its divisors is an integer number (3496500).

Almost surely, 2^100201010 is an apocalyptic number.

100201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201010 is an abundant number, since it is smaller than the sum of its proper divisors (123574990).

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

100201010 is a wasteful number, since it uses less digits than its factorization.

100201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 100201010 is about 10010.0454544423. The cubic root of 100201010 is about 464.4696771358.

Adding to 100201010 its reverse (10102001), we get a palindrome (110303011).

Subtracting from 100201010 its reverse (10102001), we obtain a palindrome (90099009).

The spelling of 100201010 in words is "one hundred million, two hundred one thousand, ten".