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1011120100100 = 2252111019100991
BaseRepresentation
bin11101011011010110111…
…01000101001100000100
310120122212200212001002022
432231223131011030010
5113031233221200400
62052300244502312
7133023333020645
oct16555335051404
93518780761068
101011120100100
1135a8a4a33770
12143b660aa998
137446b053826
1436d1d25b6cc
151b47cb2ab85
hexeb6b745304

1011120100100 has 72 divisors (see below), whose sum is σ = 2417296283136. Its totient is φ = 364039600000.

The previous prime is 1011120100091. The next prime is 1011120100129. The reversal of 1011120100100 is 10010211101.

It is a happy number.

1011120100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4439396 + ... + 4661595.

It is an arithmetic number, because the mean of its divisors is an integer number (33573559488).

Almost surely, 21011120100100 is an apocalyptic number.

1011120100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011120100100 is an abundant number, since it is smaller than the sum of its proper divisors (1406176183036).

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

1011120100100 is a wasteful number, since it uses less digits than its factorization.

1011120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101117 (or 9101110 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011120100100 its reverse (10010211101), we get a palindrome (1021130311201).

The spelling of 1011120100100 in words is "one trillion, eleven billion, one hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 9100991 18201982 36403964 45504955 91009910 100110901 182019820 200221802 227524775 400443604 455049550 500554505 910099100 919200091 1001109010 1838400182 2002218020 2502772525 3676800364 4596000455 5005545050 9192000910 10011090100 10111201001 18384001820 20222402002 22980002275 40444804004 45960004550 50556005005 91920009100 101112010010 202224020020 252780025025 505560050050 1011120100100