101220221002120 has 128 divisors (see below), whose sum is σ = 251881522214400. Its totient is φ = 36299987942400.

The previous prime is 101220221002097. The next prime is 101220221002123. The reversal of 101220221002120 is 21200122022101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101220221002094 and 101220221002103.

It is not an unprimeable number, because it can be changed into a prime (101220221002123) 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 31 ways as a sum of consecutive naturals, for example, 28824330 + ... + 32144710.

It is an arithmetic number, because the mean of its divisors is an integer number (1967824392300).

Almost surely, 2^{101220221002120} is an apocalyptic number.

101220221002120 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 101220221002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125940761107200).

101220221002120 is an abundant number, since it is smaller than the sum of its proper divisors (150661301212280).

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

101220221002120 is a wasteful number, since it uses less digits than its factorization.

101220221002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321359 (or 3321355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101220221002120 its reverse (21200122022101), we get a palindrome (122420343024221).

The spelling of 101220221002120 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-one million, two thousand, one hundred twenty".