101220100 has 18 divisors (see below), whose sum is σ = 219647834. Its totient is φ = 40488000.

The previous prime is 101220083. The next prime is 101220107. The reversal of 101220100 is 1022101.

It can be written as a sum of positive squares in 3 ways, for example, as 11235904 + 89984196 = 3352^2 + 9486^2 .

It is not an unprimeable number, because it can be changed into a prime (101220107) 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 5 ways as a sum of consecutive naturals, for example, 506001 + ... + 506200.

Almost surely, 2^101220100 is an apocalyptic number.

101220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220100 is an abundant number, since it is smaller than the sum of its proper divisors (118427734).

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

101220100 is a wasteful number, since it uses less digits than its factorization.

101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012215 (or 1012208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101220100 is about 10060.8200460996. The cubic root of 101220100 is about 466.0389917455.

Adding to 101220100 its reverse (1022101), we get a palindrome (102242201).

It can be divided in two parts, 1012 and 20100, that added together give a palindrome (21112).

The spelling of 101220100 in words is "one hundred one million, two hundred twenty thousand, one hundred".