100102011011200 has 288 divisors, whose sum is σ = 271846855687680. Its totient is φ = 36395421849600.

The previous prime is 100102011011081. The next prime is 100102011011227. The reversal of 100102011011200 is 2110110201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3487496049 + ... + 3487524751.

It is an arithmetic number, because the mean of its divisors is an integer number (943912693360).

Almost surely, 2^{100102011011200} is an apocalyptic number.

100102011011200 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 100102011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135923427843840).

100102011011200 is an abundant number, since it is smaller than the sum of its proper divisors (171744844676480).

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

100102011011200 is a wasteful number, since it uses less digits than its factorization.

100102011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37756 (or 37728 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102011011200 its reverse (2110110201001), we get a palindrome (102212121212201).

The spelling of 100102011011200 in words is "one hundred trillion, one hundred two billion, eleven million, eleven thousand, two hundred".