1021101111200 has 72 divisors (see below), whose sum is σ = 2501762775372. Its totient is φ = 406965841920.

The previous prime is 1021101111197. The next prime is 1021101111203. The reversal of 1021101111200 is 21111011201.

It is an interprime number because it is at equal distance from previous prime (1021101111197) and next prime (1021101111203).

It can be written as a sum of positive squares in 6 ways, for example, as 9040967056 + 1012060144144 = 95084^2 + 1006012^2 .

It is not an unprimeable number, because it can be changed into a prime (1021101111203) 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, 2082329 + ... + 2525528.

Almost surely, 2^{1021101111200} is an apocalyptic number.

1021101111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021101111200 is an abundant number, since it is smaller than the sum of its proper divisors (1480661664172).

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

1021101111200 is a wasteful number, since it uses less digits than its factorization.

1021101111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608154 (or 4608141 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1021101111200 its reverse (21111011201), we get a palindrome (1042212122401).

Subtracting from 1021101111200 its reverse (21111011201), we obtain a palindrome (999990099999).

The spelling of 1021101111200 in words is "one trillion, twenty-one billion, one hundred one million, one hundred eleven thousand, two hundred".