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100101000000 = 2635661547
BaseRepresentation
bin101110100111001111…
…1000000101101000000
3100120101012200200012110
41131032133000231000
53120001324000000
6113552531455320
710142411314101
oct1351637005500
9316335620173
10100101000000
11394a844a981
1217497757540
139593713461
144bb86323a8
15290d03a850
hex174e7c0b40

100101000000 has 392 divisors, whose sum is σ = 337101310048. Its totient is φ = 26208000000.

The previous prime is 100100999987. The next prime is 100101000011. The reversal of 100101000000 is 101001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 182999727 + ... + 183000273.

Almost surely, 2100101000000 is an apocalyptic number.

100101000000 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 100101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168550655024).

100101000000 is an abundant number, since it is smaller than the sum of its proper divisors (237000310048).

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

100101000000 is an frugal number, since it uses more digits than its factorization.

100101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100101000000 its reverse (101001), we get a palindrome (100101101001).

The spelling of 100101000000 in words is "one hundred billion, one hundred one million", and thus it is an aban number.