1001102102000 has 640 divisors, whose sum is σ = 3282965876736. Its totient is φ = 285120000000.

The previous prime is 1001102101927. The next prime is 1001102102041. The reversal of 1001102102000 is 2012011001.

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 127 ways as a sum of consecutive naturals, for example, 202199525 + ... + 202204475.

Almost surely, 2^{1001102102000} is an apocalyptic number.

1001102102000 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 1001102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641482938368).

1001102102000 is an abundant number, since it is smaller than the sum of its proper divisors (2281863774736).

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

1001102102000 is a wasteful number, since it uses less digits than its factorization.

1001102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5090 counting only the distinct ones).

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

Adding to 1001102102000 its reverse (2012011001), we get a palindrome (1003114113001).

Subtracting from 1001102102000 its reverse (2012011001), we obtain a palindrome (999090090999).

The spelling of 1001102102000 in words is "one trillion, one billion, one hundred two million, one hundred two thousand".