102020220000 has 360 divisors, whose sum is σ = 365991201576. Its totient is φ = 26946048000.

The previous prime is 102020219969. The next prime is 102020220037. The reversal of 102020220000 is 22020201.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19257352 + ... + 19262648.

Almost surely, 2^102020220000 is an apocalyptic number.

102020220000 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 102020220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182995600788).

102020220000 is an abundant number, since it is smaller than the sum of its proper divisors (263970981576).

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

102020220000 is a wasteful number, since it uses less digits than its factorization.

102020220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 102020220000 its reverse (22020201), we get a palindrome (102042240201).

The spelling of 102020220000 in words is "one hundred two billion, twenty million, two hundred twenty thousand".