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1002112121021 = 11432419679091
BaseRepresentation
bin11101001010100101000…
…10010111100010111101
310112210121220202021211112
432211102202113202331
5112404311200333041
62044210340331405
7132254162325164
oct16452242274275
93483556667745
101002112121021
11356aa2192760
121422713a3b65
1373663a3b7ab
1436706b6a3db
151b101dc4deb
hexe9528978bd

1002112121021 has 32 divisors (see below), whose sum is σ = 1124563731456. Its totient is φ = 885118752000.

The previous prime is 1002112120969. The next prime is 1002112121041. The reversal of 1002112121021 is 1201212112001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002112121021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002112120987 and 1002112121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112121041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110226686 + ... + 110235776.

It is an arithmetic number, because the mean of its divisors is an integer number (35142616608).

Almost surely, 21002112121021 is an apocalyptic number.

1002112121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002112121021 is a deficient number, since it is larger than the sum of its proper divisors (122451610435).

1002112121021 is a wasteful number, since it uses less digits than its factorization.

1002112121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353.

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

Adding to 1002112121021 its reverse (1201212112001), we get a palindrome (2203324233022).

The spelling of 1002112121021 in words is "one trillion, two billion, one hundred twelve million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 11 43 241 473 967 2651 9091 10363 10637 41581 100001 113993 233047 390913 457391 2190931 2563517 4300043 8790997 10021021 24100241 94210033 96700967 110231231 378012871 1036310363 2118630277 4158141581 23304933047 91101101911 1002112121021