101200012011200 has 168 divisors, whose sum is σ = 252612315876720. Its totient is φ = 39896086118400.

The previous prime is 101200012011107. The next prime is 101200012011211. The reversal of 101200012011200 is 2110210002101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158646491 + ... + 159283109.

Almost surely, 2^{101200012011200} is an apocalyptic number.

101200012011200 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 101200012011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126306157938360).

101200012011200 is an abundant number, since it is smaller than the sum of its proper divisors (151412303865520).

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

101200012011200 is a wasteful number, since it uses less digits than its factorization.

101200012011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638075 (or 638060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101200012011200 its reverse (2110210002101), we get a palindrome (103310222013301).

The spelling of 101200012011200 in words is "one hundred one trillion, two hundred billion, twelve million, eleven thousand, two hundred".