100102013101200 has 240 divisors, whose sum is σ = 351204715959552. Its totient is φ = 24170472000000.

The previous prime is 100102013101199. The next prime is 100102013101219. The reversal of 100102013101200 is 2101310201001.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 11793346 + ... + 18419745.

Almost surely, 2^{100102013101200} is an apocalyptic number.

100102013101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102013101200 is an abundant number, since it is smaller than the sum of its proper divisors (251102702858352).

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

100102013101200 is a wasteful number, since it uses less digits than its factorization.

100102013101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30213374 (or 30213363 counting only the distinct ones).

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

Adding to 100102013101200 its reverse (2101310201001), we get a palindrome (102203323302201).

The spelling of 100102013101200 in words is "one hundred trillion, one hundred two billion, thirteen million, one hundred one thousand, two hundred".