102001110200000 has 336 divisors, whose sum is σ = 277752725375328. Its totient is φ = 36854937600000.

The previous prime is 102001110199997. The next prime is 102001110200051. The reversal of 102001110200000 is 2011100201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345252344 + ... + 345547656.

It is an arithmetic number, because the mean of its divisors is an integer number (826645015998).

Almost surely, 2^{102001110200000} is an apocalyptic number.

102001110200000 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 102001110200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138876362687664).

102001110200000 is an abundant number, since it is smaller than the sum of its proper divisors (175751615175328).

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

102001110200000 is an equidigital number, since it uses as much as digits as its factorization.

102001110200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295518 (or 295488 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102001110200000 its reverse (2011100201), we get a palindrome (102003121300201).

The spelling of 102001110200000 in words is "one hundred two trillion, one billion, one hundred ten million, two hundred thousand".