102001210020000 has 720 divisors, whose sum is σ = 372489299294112. Its totient is φ = 26449079040000.

The previous prime is 102001210019987. The next prime is 102001210020041. The reversal of 102001210020000 is 20012100201.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14192456407 + ... + 14192463593.

Almost surely, 2^{102001210020000} is an apocalyptic number.

102001210020000 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 102001210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186244649647056).

102001210020000 is an abundant number, since it is smaller than the sum of its proper divisors (270488089274112).

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

102001210020000 is a wasteful number, since it uses less digits than its factorization.

102001210020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9365 counting only the distinct ones).

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

Adding to 102001210020000 its reverse (20012100201), we get a palindrome (102021222120201).

The spelling of 102001210020000 in words is "one hundred two trillion, one billion, two hundred ten million, twenty thousand".