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100021212112221 = 3237300364000337
BaseRepresentation
bin10110101111100000000000…
…110100010110010101011101
3111010010221020020122110220200
4112233200000310112111131
5101102221420300042341
6552421035511534113
730032202610132101
oct2657400064262535
9433127206573820
10100021212112221
1129962837765034
12b27494568a339
1343a6c6299613a
141a9b0a409b901
15b86babb69db6
hex5af800d1655d

100021212112221 has 12 divisors (see below), whose sum is σ = 148379816166972. Its totient is φ = 64878624072576.

The previous prime is 100021212112201. The next prime is 100021212112247. The reversal of 100021212112221 is 122211212120001.

100021212112221 is a `hidden beast` number, since 100 + 0 + 21 + 212 + 112 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94320244083321 + 5700968028900 = 9711861^2 + 2387670^2 .

It is not a de Polignac number, because 100021212112221 - 27 = 100021212112093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100021212112194 and 100021212112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021212112201) 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, 150181999836 + ... + 150182000501.

It is an arithmetic number, because the mean of its divisors is an integer number (12364984680581).

Almost surely, 2100021212112221 is an apocalyptic number.

It is an amenable number.

100021212112221 is a deficient number, since it is larger than the sum of its proper divisors (48358604054751).

100021212112221 is a wasteful number, since it uses less digits than its factorization.

100021212112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300364000380 (or 300364000377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100021212112221 its reverse (122211212120001), we get a palindrome (222232424232222).

The spelling of 100021212112221 in words is "one hundred trillion, twenty-one billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 300364000337 901092001011 2703276003033 11113468012469 33340404037407 100021212112221