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101000000000 = 2959101

101000000000 has 200 divisors, whose sum is σ = 254750950476. Its totient is φ = 40000000000.

The previous prime is 100999999999. The next prime is 101000000011. The reversal of 101000000000 is 101.

Adding to 101000000000 its reverse (101), we get a palindrome (101000000101).

101000000000 divided by its reverse (101) gives a 9-th power (1000000000 = 109).

It can be written as a sum of positive squares in 10 ways, for example, as 89415352576 + 11584647424 = 299024^2 + 107632^2 .

It is a sliding number, since 101000000000 = 1000000000 + 100000000000 and 1/1000000000 + 1/100000000000 = 0.00000000101000000000.

It is a tau number, because it is divible by the number of its divisors (200).

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 999999950 + ... + 1000000050.

Almost surely, 2101000000000 is an apocalyptic number.

101000000000 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 101000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127375475238).

101000000000 is an abundant number, since it is smaller than the sum of its proper divisors (153750950476).

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

101000000000 is an frugal number, since it uses more digits than its factorization.

101000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 108 counting only the distinct ones).

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

The spelling of 101000000000 in words is "one hundred one billion", and thus it is an aban number.