101212212100 has 36 divisors (see below), whose sum is σ = 220332263284. Its totient is φ = 40355527680.

The previous prime is 101212212043. The next prime is 101212212121. The reversal of 101212212100 is 1212212101.

It can be written as a sum of positive squares in 6 ways, for example, as 9170360644 + 92041851456 = 95762^2 + 303384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1585509 + ... + 1648108.

Almost surely, 2^101212212100 is an apocalyptic number.

101212212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212212100 is an abundant number, since it is smaller than the sum of its proper divisors (119120051184).

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

101212212100 is a wasteful number, since it uses less digits than its factorization.

101212212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233944 (or 3233937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101212212100 its reverse (1212212101), we get a palindrome (102424424201).

Subtracting from 101212212100 its reverse (1212212101), we obtain a palindrome (99999999999).

The spelling of 101212212100 in words is "one hundred one billion, two hundred twelve million, two hundred twelve thousand, one hundred".