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1221100202001 = 310315725170577
BaseRepresentation
bin10001110001001111001…
…111100110100000010001
311022201212120110102122110
4101301033033212200101
5130001303122431001
62332544331055533
7154136000313651
oct21611717464021
94281776412573
101221100202001
11430958259169
121787a7ba15a9
138b1c2bb4234
144315c9a2361
1521b6c32c3d6
hex11c4f3e6811

1221100202001 has 16 divisors (see below), whose sum is σ = 1654411750784. Its totient is φ = 801028410624.

The previous prime is 1221100201969. The next prime is 1221100202011. The reversal of 1221100202001 is 1002020011221.

It is not a de Polignac number, because 1221100202001 - 25 = 1221100201969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221100202011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12536776 + ... + 12633801.

It is an arithmetic number, because the mean of its divisors is an integer number (103400734424).

Almost surely, 21221100202001 is an apocalyptic number.

It is an amenable number.

1221100202001 is a deficient number, since it is larger than the sum of its proper divisors (433311548783).

1221100202001 is a wasteful number, since it uses less digits than its factorization.

1221100202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25170840.

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

Adding to 1221100202001 its reverse (1002020011221), we get a palindrome (2223120213222).

It can be divided in two parts, 1221 and 100202001, that multiplied together give a palindrome (122346643221).

The spelling of 1221100202001 in words is "one trillion, two hundred twenty-one billion, one hundred million, two hundred two thousand, one".

Divisors: 1 3 103 157 309 471 16171 48513 25170577 75511731 2592569431 3951780589 7777708293 11855341767 407033400667 1221100202001