1001102111200 has 72 divisors (see below), whose sum is σ = 2572569016920. Its totient is φ = 379365004800.

The previous prime is 1001102111173. The next prime is 1001102111291. The reversal of 1001102111200 is 21112011001.

1001102111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32915791 + ... + 32946190.

It is an arithmetic number, because the mean of its divisors is an integer number (35730125235).

Almost surely, 2^{1001102111200} is an apocalyptic number.

1001102111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001102111200 is an abundant number, since it is smaller than the sum of its proper divisors (1571466905720).

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

1001102111200 is a wasteful number, since it uses less digits than its factorization.

1001102111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65862020 (or 65862007 counting only the distinct ones).

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

Adding to 1001102111200 its reverse (21112011001), we get a palindrome (1022214122201).

The spelling of 1001102111200 in words is "one trillion, one billion, one hundred two million, one hundred eleven thousand, two hundred".