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11201211000100 = 225211314759118457
BaseRepresentation
bin1010001011111111110000…
…1100111110010100100100
31110122211021122122112122101
42202333330030332110210
52432010040004000400
635453433145341444
72234155310362012
oct242777414762444
943584248575571
1011201211000100
11362945265a440
12130aa52a97884
136333675b9524
142aa1da40b8b2
151465810dd56a
hexa2ffc33e524

11201211000100 has 288 divisors, whose sum is σ = 28428100485120. Its totient is φ = 3792487296000.

The previous prime is 11201211000097. The next prime is 11201211000103. The reversal of 11201211000100 is 100011210211.

It is an interprime number because it is at equal distance from previous prime (11201211000097) and next prime (11201211000103).

It is a super-2 number, since 2×112012110001002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11201211000103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94500072 + ... + 94618528.

It is an arithmetic number, because the mean of its divisors is an integer number (98708682240).

Almost surely, 211201211000100 is an apocalyptic number.

11201211000100 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 11201211000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214050242560).

11201211000100 is an abundant number, since it is smaller than the sum of its proper divisors (17226889485020).

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

11201211000100 is a wasteful number, since it uses less digits than its factorization.

11201211000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118619 (or 118612 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11201211000100 its reverse (100011210211), we get a palindrome (11301222210311).

The spelling of 11201211000100 in words is "eleven trillion, two hundred one billion, two hundred eleven million, one hundred", and thus it is an aban number.