101121222222100 has 36 divisors (see below), whose sum is σ = 219722924318044. Its totient is φ = 40395056244480.

The previous prime is 101121222222091. The next prime is 101121222222131. The reversal of 101121222222100 is 1222222121101.

It can be written as a sum of positive squares in 6 ways, for example, as 9038236525956 + 92082985696144 = 3006366^2 + 9595988^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667831977 + ... + 667983376.

Almost surely, 2^{101121222222100} is an apocalyptic number.

101121222222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121222222100 is an abundant number, since it is smaller than the sum of its proper divisors (118601702095944).

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

101121222222100 is a wasteful number, since it uses less digits than its factorization.

101121222222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335816124 (or 1335816117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101121222222100 its reverse (1222222121101), we get a palindrome (102343444343201).

The spelling of 101121222222100 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".