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20021121202100 = 2252200211212021
BaseRepresentation
bin1001000110101100001111…
…10100010011011110110100
32121220000000100201202001012
410203112013310103132310
510111011224011431400
6110325324234451352
74134323022205364
oct443260764233664
977800010652035
1020021121202100
116419a00a72867
1222b4288b93b58
13b22ca3053965
144d30554009a4
1524abde274d35
hex123587d137b4

20021121202100 has 18 divisors (see below), whose sum is σ = 43445833008774. Its totient is φ = 8008448480800.

The previous prime is 20021121202091. The next prime is 20021121202109. The reversal of 20021121202100 is 120212112002.

It is an interprime number because it is at equal distance from previous prime (20021121202091) and next prime (20021121202109).

It can be written as a sum of positive squares in 3 ways, for example, as 394147907344 + 19626973294756 = 627812^2 + 4430234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021121202109) 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 5 ways as a sum of consecutive naturals, for example, 100105605911 + ... + 100105606110.

Almost surely, 220021121202100 is an apocalyptic number.

20021121202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021121202100 is an abundant number, since it is smaller than the sum of its proper divisors (23424711806674).

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

20021121202100 is a wasteful number, since it uses less digits than its factorization.

20021121202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200211212035 (or 200211212028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20021121202100 its reverse (120212112002), we get a palindrome (20141333314102).

It can be divided in two parts, 20021 and 121202100, that added together give a palindrome (121222121).

The spelling of 20021121202100 in words is "twenty trillion, twenty-one billion, one hundred twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 200211212021 400422424042 800844848084 1001056060105 2002112120210 4004224240420 5005280300525 10010560601050 20021121202100