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10222220212100 = 225213173115979343
BaseRepresentation
bin1001010011000000101111…
…0011011111011110000100
31100012020100002202200000022
42110300023303133132010
52314440101333241400
633424004555234312
72103350101105631
oct224601363373604
940166302680008
1010222220212100
1132912458a9476
121191174a48998
13591c49b0c7a0
14274a88315188
1512ad83ee3b85
hex94c0bcdf784

10222220212100 has 288 divisors, whose sum is σ = 26128823648256. Its totient is φ = 3435225292800.

The previous prime is 10222220212037. The next prime is 10222220212129. The reversal of 10222220212100 is 121202222201.

It is a happy number.

10222220212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1094100029 + ... + 1094109371.

It is an arithmetic number, because the mean of its divisors is an integer number (90725082112).

Almost surely, 210222220212100 is an apocalyptic number.

10222220212100 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 10222220212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13064411824128).

10222220212100 is an abundant number, since it is smaller than the sum of its proper divisors (15906603436156).

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

10222220212100 is a wasteful number, since it uses less digits than its factorization.

10222220212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10222220212100 its reverse (121202222201), we get a palindrome (10343422434301).

The spelling of 10222220212100 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty million, two hundred twelve thousand, one hundred".