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11012102012100 = 22352734732594637
BaseRepresentation
bin1010000000111111010001…
…1011011011110011000100
31102222202011022201120221210
42200033310123123303010
52420410241103341400
635230520111411420
72214412103452410
oct240176433336304
942882138646853
1011012102012100
11356622a556802
12129a276823b70
1361b58a755167
142a0dba949d40
151416b3d7a950
hexa03f46dbcc4

11012102012100 has 288 divisors, whose sum is σ = 36537371458560. Its totient is φ = 2508486935040.

The previous prime is 11012102012089. The next prime is 11012102012111. The reversal of 11012102012100 is 121020121011.

11012102012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11012102012089) and next prime (11012102012111).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2374830982 + ... + 2374835618.

It is an arithmetic number, because the mean of its divisors is an integer number (126865873120).

Almost surely, 211012102012100 is an apocalyptic number.

11012102012100 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 11012102012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18268685729280).

11012102012100 is an abundant number, since it is smaller than the sum of its proper divisors (25525269446460).

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

11012102012100 is a wasteful number, since it uses less digits than its factorization.

11012102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012102012100 its reverse (121020121011), we get a palindrome (11133122133111).

It can be divided in two parts, 1 and 1012102012100, that added together give a palindrome (1012102012101).

The spelling of 11012102012100 in words is "eleven trillion, twelve billion, one hundred two million, twelve thousand, one hundred".