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1002111122121 = 321110091568993
BaseRepresentation
bin11101001010100100111…
…10100011101011001001
310112210121211212112121020
432211102132203223021
5112404310421401441
62044210303103053
7132254150665014
oct16452236435311
93483554775536
101002111122121
11356aa167021a
12142270ba1a89
137366377bc25
143670698a37b
151b101c78e66
hexe9527a3ac9

1002111122121 has 16 divisors (see below), whose sum is σ = 1343811981120. Its totient is φ = 664248453120.

The previous prime is 1002111122119. The next prime is 1002111122143. The reversal of 1002111122121 is 1212211112001.

It is a happy number.

It is not a de Polignac number, because 1002111122121 - 21 = 1002111122119 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002111122121.

It is not an unprimeable number, because it can be changed into a prime (1002111122021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145800 + ... + 1423193.

It is an arithmetic number, because the mean of its divisors is an integer number (83988248820).

Almost surely, 21002111122121 is an apocalyptic number.

It is an amenable number.

1002111122121 is a deficient number, since it is larger than the sum of its proper divisors (341700858999).

1002111122121 is a wasteful number, since it uses less digits than its factorization.

1002111122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570216.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1002111122121 its reverse (1212211112001), we get a palindrome (2214322234122).

The spelling of 1002111122121 in words is "one trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 211 633 1009 3027 212899 638697 1568993 4706979 331057523 993172569 1583113937 4749341811 334037040707 1002111122121