101021222021120 has 96 divisors (see below), whose sum is σ = 242590942175400. Its totient is φ = 40375280467968.

The previous prime is 101021222021087. The next prime is 101021222021129. The reversal of 101021222021120 is 21120222120101.

It can be written as a sum of positive squares in 4 ways, for example, as 57808163636224 + 43213058384896 = 7603168^2 + 6573664^2 .

It is not an unprimeable number, because it can be changed into a prime (101021222021129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8408936 + ... + 16515224.

Almost surely, 2^{101021222021120} is an apocalyptic number.

101021222021120 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 101021222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121295471087700).

101021222021120 is an abundant number, since it is smaller than the sum of its proper divisors (141569720154280).

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

101021222021120 is an equidigital number, since it uses as much as digits as its factorization.

101021222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107533 (or 8107513 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101021222021120 its reverse (21120222120101), we get a palindrome (122141444141221).

The spelling of 101021222021120 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".