101100201011200 has 288 divisors, whose sum is σ = 252130565657880. Its totient is φ = 40204291276800.

The previous prime is 101100201011113. The next prime is 101100201011219. The reversal of 101100201011200 is 2110102001101.

It can be written as a sum of positive squares in 12 ways, for example, as 5944390124544 + 95155810886656 = 2438112^2 + 9754784^2 .

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 23 ways as a sum of consecutive naturals, for example, 23528087452 + ... + 23528091748.

Almost surely, 2^{101100201011200} is an apocalyptic number.

101100201011200 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 101100201011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126065282828940).

101100201011200 is an abundant number, since it is smaller than the sum of its proper divisors (151030364646680).

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

101100201011200 is a wasteful number, since it uses less digits than its factorization.

101100201011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6878 counting only the distinct ones).

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

Adding to 101100201011200 its reverse (2110102001101), we get a palindrome (103210303012301).

The spelling of 101100201011200 in words is "one hundred one trillion, one hundred billion, two hundred one million, eleven thousand, two hundred".