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100212200021 = 1933257159421
BaseRepresentation
bin101110101010100011…
…1001101001001010101
3100120122221221012221202
41131111013031021111
53120213310400041
6114011543122245
710145231434313
oct1352507151125
9316587835852
10100212200021
11395551a111a
1217508a43385
1395b0778a9b
144bc92db0b3
152917ba3a9b
hex17551cd255

100212200021 has 8 divisors (see below), whose sum is σ = 100762993944. Its totient is φ = 99661731840.

The previous prime is 100212200017. The next prime is 100212200119. The reversal of 100212200021 is 120002212001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33964647025 + 66247552996 = 184295^2 + 257386^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212200021 - 22 = 100212200017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212199975 and 100212200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212200521) 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 7 ways as a sum of consecutive naturals, for example, 548891 + ... + 708311.

It is an arithmetic number, because the mean of its divisors is an integer number (12595374243).

Almost surely, 2100212200021 is an apocalyptic number.

It is an amenable number.

100212200021 is a deficient number, since it is larger than the sum of its proper divisors (550793923).

100212200021 is a wasteful number, since it uses less digits than its factorization.

100212200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162871.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100212200021 its reverse (120002212001), we get a palindrome (220214412022).

The spelling of 100212200021 in words is "one hundred billion, two hundred twelve million, two hundred thousand, twenty-one".

Divisors: 1 193 3257 159421 628601 30768253 519234197 100212200021