102011220000000 has 2592 divisors, whose sum is σ = 408675794802912. Its totient is φ = 24440832000000.

The previous prime is 102011219999933. The next prime is 102011220000023. The reversal of 102011220000000 is 22110201.

It can be written as a sum of positive squares in 48 ways, for example, as 26378002946304 + 75633217053696 = 5135952^2 + 8696736^2 .

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1924739999974 + ... + 1924740000026.

It is an arithmetic number, because the mean of its divisors is an integer number (157668130711).

Almost surely, 2^{102011220000000} is an apocalyptic number.

102011220000000 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 102011220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204337897401456).

102011220000000 is an abundant number, since it is smaller than the sum of its proper divisors (306664574802912).

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

102011220000000 is an frugal number, since it uses more digits than its factorization.

102011220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102011220000000 its reverse (22110201), we get a palindrome (102011242110201).

The spelling of 102011220000000 in words is "one hundred two trillion, eleven billion, two hundred twenty million", and thus it is an aban number.