1001102120200 has 192 divisors, whose sum is σ = 2876690880000. Its totient is φ = 315505290240.

The previous prime is 1001102120177. The next prime is 1001102120201. The reversal of 1001102120200 is 20212011001.

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 (1001102120201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4234726 + ... + 4464874.

It is an arithmetic number, because the mean of its divisors is an integer number (14982765000).

Almost surely, 2^{1001102120200} is an apocalyptic number.

1001102120200 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 1001102120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438345440000).

1001102120200 is an abundant number, since it is smaller than the sum of its proper divisors (1875588759800).

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

1001102120200 is a wasteful number, since it uses less digits than its factorization.

1001102120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230424 (or 230415 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001102120200 its reverse (20212011001), we get a palindrome (1021314131201).

It can be divided in two parts, 1001 and 102120200, that added together give a palindrome (102121201).

The spelling of 1001102120200 in words is "one trillion, one billion, one hundred two million, one hundred twenty thousand, two hundred".