102020111210000 has 400 divisors, whose sum is σ = 252127388409600. Its totient is φ = 39969925632000.

The previous prime is 102020111209963. The next prime is 102020111210029. The reversal of 102020111210000 is 12111020201.

102020111210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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, 95435089466 + ... + 95435090534.

It is an arithmetic number, because the mean of its divisors is an integer number (630318471024).

Almost surely, 2^{102020111210000} is an apocalyptic number.

102020111210000 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 102020111210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126063694204800).

102020111210000 is an abundant number, since it is smaller than the sum of its proper divisors (150107277199600).

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

102020111210000 is a wasteful number, since it uses less digits than its factorization.

102020111210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1935 counting only the distinct ones).

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

Adding to 102020111210000 its reverse (12111020201), we get a palindrome (102032222230201).

The spelling of 102020111210000 in words is "one hundred two trillion, twenty billion, one hundred eleven million, two hundred ten thousand".