101111120021200 has 30 divisors (see below), whose sum is σ = 242919465851894. Its totient is φ = 40444448008320.

The previous prime is 101111120021183. The next prime is 101111120021203. The reversal of 101111120021200 is 2120021111101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22252315479696 + 78858804541504 = 4717236^2 + 8880248^2 .

It is a super-2 number, since 2×101111120021200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111120021203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126388899627 + ... + 126388900426.

Almost surely, 2^{101111120021200} is an apocalyptic number.

101111120021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111120021200 is an abundant number, since it is smaller than the sum of its proper divisors (141808345830694).

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

101111120021200 is a wasteful number, since it uses less digits than its factorization.

101111120021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252777800071 (or 252777800060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101111120021200 its reverse (2120021111101), we get a palindrome (103231141132301).

The spelling of 101111120021200 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty million, twenty-one thousand, two hundred".