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100212100212202 = 211311011454837261
BaseRepresentation
bin10110110010010001110010…
…101000101010010111101010
3111010211011221120021200102121
4112302101302220222113222
5101113333340123242302
6553044445302221454
730052041156200656
oct2662216250522752
9433734846250377
10100212100212202
1129a26793055950
12b2a593972488a
1343bbc642b5ba4
141aa6411d59a66
15b8bb301abe37
hex5b2472a2a5ea

100212100212202 has 32 divisors (see below), whose sum is σ = 170949197634048. Its totient is φ = 43645117800000.

The previous prime is 100212100212197. The next prime is 100212100212209. The reversal of 100212100212202 is 202212001212001.

It is a happy number.

It is a super-2 number, since 2×1002121002122022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212100212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727349749 + ... + 727487512.

It is an arithmetic number, because the mean of its divisors is an integer number (5342162426064).

Almost surely, 2100212100212202 is an apocalyptic number.

100212100212202 is a deficient number, since it is larger than the sum of its proper divisors (70737097421846).

100212100212202 is a wasteful number, since it uses less digits than its factorization.

100212100212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454837406.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212100212202 its reverse (202212001212001), we get a palindrome (302424101424203).

The spelling of 100212100212202 in words is "one hundred trillion, two hundred twelve billion, one hundred million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 11 22 31 62 101 202 341 682 1111 2222 3131 6262 34441 68882 1454837261 2909674522 16003209871 32006419742 45099955091 90199910182 146938563361 293877126722 496099506001 992199012002 1616324196971 3232648393942 4555095464191 9110190928382 50106050106101 100212100212202