101001111200200 has 48 divisors (see below), whose sum is σ = 239258292688980. Its totient is φ = 39638171938560.

The previous prime is 101001111200123. The next prime is 101001111200203. The reversal of 101001111200200 is 2002111100101.

It can be written as a sum of positive squares in 6 ways, for example, as 67857164102116 + 33143947098084 = 8237546^2 + 5757078^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101001111200203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4764192759 + ... + 4764213958.

Almost surely, 2^{101001111200200} is an apocalyptic number.

101001111200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001111200200 is an abundant number, since it is smaller than the sum of its proper divisors (138257181488780).

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

101001111200200 is a wasteful number, since it uses less digits than its factorization.

101001111200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528406786 (or 9528406777 counting only the distinct ones).

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

Adding to 101001111200200 its reverse (2002111100101), we get a palindrome (103003222300301).

It can be divided in two parts, 10100111 and 1200200, that added together give a palindrome (11300311).

The spelling of 101001111200200 in words is "one hundred one trillion, one billion, one hundred eleven million, two hundred thousand, two hundred".