101121113220100 has 72 divisors (see below), whose sum is σ = 221706235283400. Its totient is φ = 40029424005120.

The previous prime is 101121113220079. The next prime is 101121113220143. The reversal of 101121113220100 is 1022311121101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13638426264576 + 87482686955524 = 3693024^2 + 9353218^2 .

It is a super-3 number, since 3×101121113220100³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199071642 + ... + 199578958.

It is an arithmetic number, because the mean of its divisors is an integer number (3079253267825).

Almost surely, 2^{101121113220100} is an apocalyptic number.

101121113220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121113220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110853117641700).

101121113220100 is an abundant number, since it is smaller than the sum of its proper divisors (120585122063300).

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

101121113220100 is a wasteful number, since it uses less digits than its factorization.

101121113220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527977 (or 527970 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101121113220100 its reverse (1022311121101), we get a palindrome (102143424341201).

The spelling of 101121113220100 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred thirteen million, two hundred twenty thousand, one hundred".