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1102022020121 = 11217899416397
BaseRepresentation
bin10000000010010101101…
…000011000110000011001
310220100111210212000212212
4100002111220120300121
5121023420114120441
62202132324244505
7142422063420641
oct20022550306031
93810453760785
101102022020121
11395401778700
121596b4b40735
137cbc6992399
143b4a3c55521
151d9ed262eeb
hex10095a18c19

1102022020121 has 48 divisors (see below), whose sum is σ = 1298559321360. Its totient is φ = 931175731200.

The previous prime is 1102022020117. The next prime is 1102022020147. The reversal of 1102022020121 is 1210202202011.

It can be written as a sum of positive squares in 8 ways, for example, as 100021020121 + 1002001000000 = 316261^2 + 1001000^2 .

It is not a de Polignac number, because 1102022020121 - 22 = 1102022020117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102022020096 and 1102022020105.

It is not an unprimeable number, because it can be changed into a prime (1102022020111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172268495 + ... + 172274891.

It is an arithmetic number, because the mean of its divisors is an integer number (27053319195).

Almost surely, 21102022020121 is an apocalyptic number.

1102022020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102022020121 is a deficient number, since it is larger than the sum of its proper divisors (196537301239).

1102022020121 is a wasteful number, since it uses less digits than its factorization.

1102022020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1102022020121 its reverse (1210202202011), we get a palindrome (2312224222132).

The spelling of 1102022020121 in words is "one trillion, one hundred two billion, twenty-two million, twenty thousand, one hundred twenty-one".

Divisors: 1 11 17 89 121 187 941 979 1513 2057 6397 10351 10769 15997 16643 70367 83749 108749 113861 175967 183073 569333 774037 921239 1196239 1423733 1935637 6019577 6262663 9678661 10133629 13158629 15661063 66215347 68889293 102332809 106465271 172271693 535742353 728368817 1125660899 1171117981 5893165883 9107620001 12382269889 64824824713 100183820011 1102022020121