101222220100 has 18 divisors (see below), whose sum is σ = 219652217834. Its totient is φ = 40488888000.

The previous prime is 101222220061. The next prime is 101222220101. The reversal of 101222220100 is 1022222101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1630221376 + 99591998724 = 40376^2 + 315582^2 .

It is not an unprimeable number, because it can be changed into a prime (101222220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506111001 + ... + 506111200.

Almost surely, 2^101222220100 is an apocalyptic number.

101222220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222220100 is an abundant number, since it is smaller than the sum of its proper divisors (118429997734).

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

101222220100 is a wasteful number, since it uses less digits than its factorization.

101222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012222215 (or 1012222208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101222220100 its reverse (1022222101), we get a palindrome (102244442201).

The spelling of 101222220100 in words is "one hundred one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".