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200100012100101 = 3353162298616199
BaseRepresentation
bin101101011111110101101010…
…001001000000101000000101
3222020111101002220001011001000
4231133311222021000220011
5202211414311044200401
61545324402043523513
760101514560200341
oct5537655211005005
9866441086034030
10200100012100101
1158837a36263433
121a538881229599
138786472447039
14375ac6c514621
1518200d93b9186
hexb5fd6a240a05

200100012100101 has 32 divisors (see below), whose sum is σ = 302056400160000. Its totient is φ = 130874946830784.

The previous prime is 200100012100081. The next prime is 200100012100129. The reversal of 200100012100101 is 101001210001002.

It is a happy number.

It is not a de Polignac number, because 200100012100101 - 210 = 200100012099077 is a prime.

It is a super-2 number, since 2×2001000121001012 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100012100141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18915600 + ... + 27531798.

It is an arithmetic number, because the mean of its divisors is an integer number (9439262505000).

Almost surely, 2200100012100101 is an apocalyptic number.

It is an amenable number.

200100012100101 is a deficient number, since it is larger than the sum of its proper divisors (101956388059899).

200100012100101 is a wasteful number, since it uses less digits than its factorization.

200100012100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8632490 (or 8632484 counting only the distinct ones).

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

Adding to 200100012100101 its reverse (101001210001002), we get a palindrome (301101222101103).

The spelling of 200100012100101 in words is "two hundred trillion, one hundred billion, twelve million, one hundred thousand, one hundred one".

Divisors: 1 3 9 27 53 159 477 1431 16229 48687 146061 438183 860137 2580411 7741233 8616199 23223699 25848597 77545791 232637373 456658547 1369975641 4109926923 12329780769 139832293571 419496880713 1258490642139 3775471926417 7411111559263 22233334677789 66700004033367 200100012100101