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1000100000000 = 285873137

1000100000000 has 324 divisors, whose sum is σ = 2548012367292. Its totient is φ = 391680000000.

The previous prime is 1000099999993. The next prime is 1000100000023. The reversal of 1000100000000 is 10001.

Adding to 1000100000000 its reverse (10001), we get a palindrome (1000100010001).

1000100000000 divided by its reverse (10001) gives a 8-th power (100000000 = 108).

It can be written as a sum of positive squares in 18 ways, for example, as 84909297664 + 915190702336 = 291392^2 + 956656^2 .

It is a sliding number, since 1000100000000 = 100000000 + 1000000000000 and 1/100000000 + 1/1000000000000 = 0.00000001000100000000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7299999932 + ... + 7300000068.

Almost surely, 21000100000000 is an apocalyptic number.

1000100000000 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 1000100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274006183646).

1000100000000 is an abundant number, since it is smaller than the sum of its proper divisors (1547912367292).

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

1000100000000 is an frugal number, since it uses more digits than its factorization.

1000100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The spelling of 1000100000000 in words is "one trillion, one hundred million", and thus it is an aban number.