100102032001200 has 120 divisors (see below), whose sum is σ = 339522539197968. Its totient is φ = 25123647242240.

The previous prime is 100102032001157. The next prime is 100102032001207. The reversal of 100102032001200 is 2100230201001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100102032001207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2453460777 + ... + 2453501576.

Almost surely, 2^{100102032001200} is an apocalyptic number.

100102032001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102032001200 is an abundant number, since it is smaller than the sum of its proper divisors (239420507196768).

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

100102032001200 is a wasteful number, since it uses less digits than its factorization.

100102032001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906962391 (or 4906962380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100102032001200 its reverse (2100230201001), we get a palindrome (102202262202201).

The spelling of 100102032001200 in words is "one hundred trillion, one hundred two billion, thirty-two million, one thousand, two hundred".