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1012221110201 = 72341293523357
BaseRepresentation
bin11101011101011010001…
…01000110011110111001
310120202201102121011000012
432232231011012132321
5113041012101011301
62053001415151305
7133062532321640
oct16565505063671
93522642534005
101012221110201
1136030a478974
12144212975535
13745b51991b2
1436dc5580357
151b4e4610ebb
hexebad1467b9

1012221110201 has 32 divisors (see below), whose sum is σ = 1240785520128. Its totient is φ = 806889346560.

The previous prime is 1012221110191. The next prime is 1012221110207. The reversal of 1012221110201 is 1020111222101.

It is a cyclic number.

It is not a de Polignac number, because 1012221110201 - 210 = 1012221109177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012221110207) 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 31 ways as a sum of consecutive naturals, for example, 1672415 + ... + 2195771.

It is an arithmetic number, because the mean of its divisors is an integer number (38774547504).

Almost surely, 21012221110201 is an apocalyptic number.

It is an amenable number.

1012221110201 is a deficient number, since it is larger than the sum of its proper divisors (228564409927).

1012221110201 is a wasteful number, since it uses less digits than its factorization.

1012221110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523721.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012221110201 its reverse (1020111222101), we get a palindrome (2032332332302).

The spelling of 1012221110201 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred ten thousand, two hundred one".

Divisors: 1 7 23 41 161 287 293 943 2051 6601 6739 12013 47173 84091 276299 523357 1934093 3663499 12037211 21457637 84260477 150203459 153343601 493525651 1073405207 3454679557 3526902823 6287087641 24688319761 44009613487 144603015743 1012221110201