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100101000000000 = 2935961547
BaseRepresentation
bin10110110000101010010100…
…100010111111001000000000
3111010102120011210122010122110
4112300222110202333020000
5101110023322000000000
6552521433051135320
730041026045031526
oct2660522442771000
9433376153563573
10100101000000000
112999366096605a
12b2882b2444540
1343b1639b9285c
141aa0cb29c0316
15b88ccb6da850
hex5b0a948bf200

100101000000000 has 800 divisors, whose sum is σ = 339428168367552. Its totient is φ = 26208000000000.

The previous prime is 100100999999953. The next prime is 100101000000007. The reversal of 100101000000000 is 101001.

It is a tau number, because it is divible by the number of its divisors (800).

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 not an unprimeable number, because it can be changed into a prime (100101000000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 182999999727 + ... + 183000000273.

Almost surely, 2100101000000000 is an apocalyptic number.

100101000000000 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 100101000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169714084183776).

100101000000000 is an abundant number, since it is smaller than the sum of its proper divisors (239327168367552).

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

100101000000000 is an frugal number, since it uses more digits than its factorization.

100101000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 618 counting only the distinct ones).

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

Adding to 100101000000000 its reverse (101001), we get a palindrome (100101000101001).

The spelling of 100101000000000 in words is "one hundred trillion, one hundred one billion", and thus it is an aban number.