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10222110020100 = 223521126110145707
BaseRepresentation
bin1001010011000000010100…
…1111001001001000000100
31100012020001102102100000010
42110300011033021020010
52314434340131120400
633423550021350220
72103344262354306
oct224600517111004
940166042370003
1010222110020100
113291199686600
121191143b68370
13591c3003ac14
14274a7782d976
1512ad794c9450
hex94c053c9204

10222110020100 has 432 divisors, whose sum is σ = 33369941562048. Its totient is φ = 2413276800000.

The previous prime is 10222110020099. The next prime is 10222110020113. The reversal of 10222110020100 is 102001122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223621447 + ... + 223667153.

Almost surely, 210222110020100 is an apocalyptic number.

10222110020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222110020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684970781024).

10222110020100 is an abundant number, since it is smaller than the sum of its proper divisors (23147831541948).

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

10222110020100 is a wasteful number, since it uses less digits than its factorization.

10222110020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45908 (or 45890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10222110020100 its reverse (102001122201), we get a palindrome (10324111142301).

The spelling of 10222110020100 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, twenty thousand, one hundred".