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101021100012 = 22327400877381
BaseRepresentation
bin101111000010101010…
…0111010011111101100
3100122202100000121010200
41132011110322133230
53123342400200022
6114224120433500
710204253116320
oct1360524723754
9318670017120
10101021100012
113992a860708
12176b3918890
1396ac226931
144c64901980
152963bd7bac
hex178553a7ec

101021100012 has 36 divisors (see below), whose sum is σ = 291838734096. Its totient is φ = 28863171360.

The previous prime is 101021099987. The next prime is 101021100013. The reversal of 101021100012 is 210001120101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101021099967 and 101021100003.

It is not an unprimeable number, because it can be changed into a prime (101021100013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200438439 + ... + 200438942.

Almost surely, 2101021100012 is an apocalyptic number.

101021100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021100012 is an abundant number, since it is smaller than the sum of its proper divisors (190817634084).

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

101021100012 is a wasteful number, since it uses less digits than its factorization.

101021100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400877398 (or 400877393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101021100012 its reverse (210001120101), we get a palindrome (311022220113).

The spelling of 101021100012 in words is "one hundred one billion, twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 400877381 801754762 1202632143 1603509524 2405264286 2806141667 3607896429 4810528572 5612283334 7215792858 8418425001 11224566668 14431585716 16836850002 25255275003 33673700004 50510550006 101021100012