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1221222102100 = 22527111352323327
BaseRepresentation
bin10001110001010110100…
…000100111010001010100
311022202012001211121010221
4101301112200213101110
5130002030324231400
62333004403524124
7154142010410560
oct21612640472124
94282161747127
101221222102100
11430a10048550
12178820989644
138b212224c80
1443170c546a0
1521b77daac1a
hex11c56827454

1221222102100 has 288 divisors, whose sum is σ = 3565067821056. Its totient is φ = 350673753600.

The previous prime is 1221222102091. The next prime is 1221222102109. The reversal of 1221222102100 is 12012221221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1221222102091) and next prime (1221222102109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221222102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52340637 + ... + 52363963.

It is an arithmetic number, because the mean of its divisors is an integer number (12378707712).

Almost surely, 21221222102100 is an apocalyptic number.

1221222102100 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 1221222102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782533910528).

1221222102100 is an abundant number, since it is smaller than the sum of its proper divisors (2343845718956).

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

1221222102100 is a wasteful number, since it uses less digits than its factorization.

1221222102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23895 (or 23888 counting only the distinct ones).

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

Adding to 1221222102100 its reverse (12012221221), we get a palindrome (1233234323321).

It can be divided in two parts, 122122 and 2102100, that added together give a palindrome (2224222).

The spelling of 1221222102100 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred two thousand, one hundred".