102211101020000 has 480 divisors, whose sum is σ = 297600234490944. Its totient is φ = 33818803200000.

The previous prime is 102211101019921. The next prime is 102211101020087. The reversal of 102211101020000 is 20101112201.

102211101020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 452507090 + ... + 452732910.

Almost surely, 2^{102211101020000} is an apocalyptic number.

102211101020000 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 102211101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800117245472).

102211101020000 is an abundant number, since it is smaller than the sum of its proper divisors (195389133470944).

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

102211101020000 is an equidigital number, since it uses as much as digits as its factorization.

102211101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225972 (or 225949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102211101020000 its reverse (20101112201), we get a palindrome (102231202132201).

The spelling of 102211101020000 in words is "one hundred two trillion, two hundred eleven billion, one hundred one million, twenty thousand".