1000102011200 has 168 divisors, whose sum is σ = 2547227157504. Its totient is φ = 386074368000.

The previous prime is 1000102011187. The next prime is 1000102011247. The reversal of 1000102011200 is 21102010001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18175730 + ... + 18230670.

Almost surely, 2^{1000102011200} is an apocalyptic number.

1000102011200 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 1000102011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273613578752).

1000102011200 is an abundant number, since it is smaller than the sum of its proper divisors (1547125146304).

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

1000102011200 is a wasteful number, since it uses less digits than its factorization.

1000102011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55361 (or 55346 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000102011200 its reverse (21102010001), we get a palindrome (1021204021201).

The spelling of 1000102011200 in words is "one trillion, one hundred two million, eleven thousand, two hundred".