102211100220020 has 192 divisors, whose sum is σ = 237963175591680. Its totient is φ = 36568599552000.

The previous prime is 102211100219903. The next prime is 102211100220029. The reversal of 102211100220020 is 20022001112201.

It is a junction number, because it is equal to n+sod(n) for n = 102211100219977 and 102211100220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211100220029) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4694385854 + ... + 4694407626.

It is an arithmetic number, because the mean of its divisors is an integer number (1239391539540).

Almost surely, 2^{102211100220020} is an apocalyptic number.

102211100220020 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 102211100220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118981587795840).

102211100220020 is an abundant number, since it is smaller than the sum of its proper divisors (135752075371660).

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

102211100220020 is a wasteful number, since it uses less digits than its factorization.

102211100220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23266 (or 23264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102211100220020 its reverse (20022001112201), we get a palindrome (122233101332221).

The spelling of 102211100220020 in words is "one hundred two trillion, two hundred eleven billion, one hundred million, two hundred twenty thousand, twenty".